Papers for research purposes

  • Unknown.

    Analyse harmonique C. I. M. P. A, 366--439.

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    AMS Subject Classification:

    A

  • Barry Adams.

    Applications of Maple in the physical sciences. Encounters with chaos, preprint, 1994.

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  • Robert J. Adler.

    A Hölder condition for the local time of the Brownian sheet, Indiana University Journal, Vol. 29, No. 5 (1980).

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  • Vishnu K. Agrawala and Jordan G. Belifante.

    Weight diagrams for Lie group representations: a computer implementation of Freudenthal's algorithm in algol and fortran, Bit 9 (1971), 301--314.

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  • V. E. Akman and A. E. Raferty.

    Asymptotic inference for a change-point Poisson process, The annals of statistics, 1966, Vol. 14, 1583--1590.

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  • Arlene Anderson and Roberto Camporesi.

    Intertwinning Operators for Solving Differential Equations with Applications to Symmetric Spaces, Commun. Math. Phys. 130, 1990, 61--62.

    Key words: Laplacian (Beltrami-Laplace operator), heat (equation, kernel), symmetric space, special functions, hypergeometric functions, SU*(2n)/Sp(n).

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  • Michael T. Anderson.

    The Dirichlet problem at infinity for manifolds of negative curvature, pre-print, 1--39.

    Key words: symmetric space, Laplacian (Beltrami-Laplace operator), noncompact, Riemannian manifold.

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  • Aldo Andreotti and Wilhelm Stoll.

    Extension of holomorphic maps, Annals of mathematics, September, 1960, Vol. 72, No. 2, 312--349.

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  • Jean-Philippe Anker.

    La forme exacte de l'estimation fondamentale de Harish-Chandra, C. R. Acad. Sci. Paris, t. 305, série I, 1987, 371--374.

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    Le noyau de la chaleur sur les espaces symétriques ${\bf U}(p, q)/{\bf U}(p)\times {\bf U}(q)$, Lecture Notes in Mathematics 1359, (Springer-Verlag, New-York), 1988, 60--82.

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    $L^p$ Fourier multipliers on Riemannian symmetric spaces of the noncompact type, Annals of Math. 132, 1990, 597--628.

    Key words: Laplacian (Beltrami-Laplace operator), noncompact, Riemannian manifold, inversion of Abel transform, Plancherel formula, Harish-Chandra, Abel transform, Helgason, Lie groups, Cartan decomposition, Lie algebra, rootIwasawa decomposition.

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    Handling the inverse spherical Fourier transform, pre-print, 1--6.

    Key words: symmetric space, non-compact type, Harish-Chandra, Helgason, Plancherel formula, spherical functions, Laplacian (Beltrami-Laplace operator), inverse of the Abel (or Radon) transform.

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    A basic inequality for scattering theory on Riemannian symmetry spaces of the noncompact type, pre-print, 1--6.

    Key words: Harish-Chandra, Radon transform, root system, Lie groups, noncompact, Lie algebra, Iwasawa decomposition, Plancherel formula, Helgason, semisimple Lie groups (or algebras).

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    The spherical Fourier transform of rapidly decreasing functions. A simple proof of a characterization due to Harish-Chandra, Helgason, Tombi and Varadarajan, pre-print, 1--13.

    Key words: semisimple, Harish-Chandra, Helgason, noncompact, Lie algebra, Cartan decomposition, symmetric space, non-compact type, Iwasawa decomposition, spherical functions, Laplacian (Beltrami-Laplace operator), Plancherel formula, Abel transform, Lie groups.

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    Sharp estimates for some functions of the Laplacian on noncompact symmetric spaces, pre-print, 1--36.

    Key words: Laplacian (Beltrami-Laplace operator), Riemnoncompact, symmetric space of non-compact type, heat (equation, kernel), Plancherel formula, Abel transform, semisimple Lie groups, reductive Cartan decomposition, Iwasawa decomposition, Helgason, Harish-Chandra.

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    Talk on Root Systems.

    Key words: Lie groups, Lie algebra.

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  • Jean-Philippe Anker, Ewa Damek & Chokri Yacoub.

    Spherical analysis on harmonic AN groups, Les prépublications de l'Institut Élie Cartan 33, 1994, 1--29.

    Key words: heat (equation, kernel), Lie groups, Laplacian (Beltrami-Laplace operator), Lie algebra, Iwasawa decomposition, Poisson Kernel, Abel transform, Harish-Chandra, Plancherel formula, fundamental solution, hypergeometric fu

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  • Jean-Philippe Anker & Noël Lohoué.

    Multiplicateurs sur certains espaces symétriques, American Journal of Mathematics 108, 1986, 1303--1354.

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  • Jean-Philippe Anker & Alberto G. Setti.

    Asymptotic finite propagation speed for heat diffusion on certain Riemannian manifolds, pre-print, 1--8.

    Key words: symmetric space, Riemannian manifold, Laplacian (Beltrami-Laplace operator), non-compact type, semisimple Lie groups (or algebras), Lie groups, noncompact, Cartan decomposition, Lie algebra.

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  • K. Aomoto.

    Sur les transformations d'horisphère et les équations intégrales qui s'y rattachent, J. Fac. Sci. Univ. Tokyo 14, 1967, 1--23.

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  • Magdy Assem.

    Unipotent orbital integrals of spherical functions on $p$-adic $4\times4$ symplectic groups, pre-print, 1--39.

    Key words: Plancherel formula.

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    Remarks on unipotent orbital integrals and Shlika germs for SL(n), pre-print, 1--28.

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    Unipotent orbital integrals of spherical functions on $p$-adic $4\times 4$ symplectic groups, J. Reine Angew. Math. 437 (1993), 181--216.

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  • Avramidi, I. G.

    The heat kernel on symmetric spaces via integrating over the group of isometries, Physics Letters - Section B, 1994, v. 336, n. 2, p.171-178.

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    AMS Subject Classification:

    B

  • Richard Bass.

    Joint continuity and representations of additive functionals od d-diemesnional Brownian motion, Stochastic processes ans their applications 17 (1984) 211--227.

    Key words: Brownian motion, Wiener process, Lie groups, Riemannian manifold, Laplacian (Beltrami-Laplace operator), Lie algebra, semisimple Lie groups (or algebras), martingale (sub-martingale, super-martingale).

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  • Peter H. Baxendale.

    Asymptotic behaviour of stochastic flows of diffeomorphisms, Probab. Th. Rel. Fields 73, 1986, 51--85. %incomplete: 51--64, 83--85

    Key words: Brownian motion, Wiener process, Lie groups, Riemannian manifold, Laplacian (Beltrami-Laplace operator), Lie algebra, semisimple Lie groups (or algebras), martingale (sub-martingale, super-martingale).

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  • R. J. Beerends.

    The Fourier transform of Harish-Chandra's $c$-function and inversion of the Abel transform, Math. Ann. 277, 1987, 1--23.

    Key words: Iwasawa decomposition, Lie algebra, Radon transform, inverse of the Abel (or Radon) transform, symmetric space of non-compact type, noncompact, Cartan decomposition, spherical Fourier transform, Abel transform, Helgason, Lie groups, root system.

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    On the Abel transform and its inversion, Dissertation, University of Leiden, 1987.

    Key words: Radon transform, SL(n, $R$), SU*(2n)/Sp(n), Harish-Chandra, noncompact, root system, Laplacian (Beltrami-Laplace operator), semisimple Lie groups, fonctions de Legendre, Helgason, symmetric space of non-compact type, Lie algebra, Iwasawa decomposition.

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    The Abel transform and shift operators, Comp. Math. 66, 1988, 145--197.

    Key words: Iwasawa decomposition, Lie algebra, SL(n, $R$), inverse of the Abel (or Radon) tLaplacian (Beltrami-Laplace operator), Helgason, Cartan decomposition, Harish-Chandra, non-hypergeometric functions.

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    A transmutation property of the generalized Abel transform associated with root system $A_2$, Indag. Mathem., N. S., 1 (2), 1990, 155--168.

    Key words: symmetric space of non-compact type, Laplacian (Beltrami-Laplace operator), noncompact, Iwasawa decomposition, Lie algebra, spherical Fourier transform, spherical functionsheat (equation, kernel), SL(n, $R$), SU*(2n)/Sp(n), Harish-Chandra, compact type.

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    Chebyshev polynomials in several variables and the radial part of the Laplace-Beltrami operator, Trans. of the Amer. Math. Soc., vol. 328, no. 2, Dec. 1991, 779--814.

    Key words: symmetric space, root system, semisimple Lie groups (or algebras), Lie groups, compact type, Lie algebra, Laplacian (Beltrami-Laplace operator), Cartan decomposition, non-compact type.

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    Some special values for the BC type hypergeometric function, Contemporary Math., vol. 138, 1992, 27--49.

    Key words: root system, Opdam, Harish-Chandra, Jack polynomial (Jack symmetric function), zonal polynomials.

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  • Carlos Berenstein & Enrico Casadio Tarabusi.

    Inversion formulas for the $k$-dimensional Radon transform in real hyperbolic spaces, pre-print, 1--18.

    Key words: Helgason, Laplacian (Beltrami-Laplace operator), Poisson Kernel, spherical Fourier transform, symmetric space, homogeneous spaces, spherical functions, fonctions de Legendre, Harish-Chandra.

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    On the Radon and Riesz transforms in real hyperbolic spaces, pre-print, 1--20.

    Key words: Helgason, Laplacian (Beltrami-Laplace operator), SO(p, q), spherical functions, fonctions de Legendre, spherical Fourier transform, Harish-Chandra, Lie algebra, Lie groups.

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    Range of the $k$-dimensional Radon transform in real hyperbolic spaces, pre-print, 1--14.

    Key words: Helgason, Laplacian (Beltrami-Laplace operator), homogeneous spaces.

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  • I. N. Bernshtein & A. V. Zelevinskii.

    Representations of the group ${\bf GL}(n, {\bf F})$ where {\bf F} is a non-archimedean local field, Russian Math. Surveys 31, 1976, 1--68.

    Key words: spherical functions, Plancherel formula, Harish-Chandra, reductive group.

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  • M. van den Berg, Peter B. Gilkey.

    Heat Content Asymptotics of a Riemannian Manifold with Boundary, Journal of Functionnal Analysis, 120, 1994, 48--71.

    Key words: Laplacian (Beltrami-Laplace operator), fundamental solution, heat (equation, kernel), symmetric space.

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  • M. van den Berg, S. Desjardins and P. Gilkey.

    Functorality and heat content asymptotics for operators of Laplace type, preprint, 1993.

    Key words: Heat content asymptotics.

    AMS Subject Classification: 58G25

  • S. Bochner.

    Cauchy's formula in several variables, Annals of Math. 45, 1944, 690--703.

    Key words: symmetric space.

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  • N. N. Bogolyubov, S. G. Gindikin, A. A. Kirillov, A. N.

    Kolmogorov, S. P. Novikov, L. D. Faddeev. Izrail Moiseevich Gel`fand (on his seventieth birthday), Russian Math. Surveys 38:6, 1983, 145--163.

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  • A. Borel and R. Remmert.

    Über kompakte homogene Kählersche Mannigfaltigkeiten, Math. Annalen 145, 1962, 429--439.

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  • Raoul Bott.

    Lecture on Morse theory, old and new, Bulletin (New Series) of the Am. Math. Soc., Vol. 7, No. 2, Sep. 1982, 331--358.

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  • Hafida Boudjellaba.

    A comparison of test criteria for Granger causality in multivariate ARMA models, preprint, 1993.

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  • Hafida Boudjellaba & Jean-Marie Dufour & Roch Roy.

    Simplified conditions for noncausality in multivariate ARMA models, Journal of Econometrics 63 (1994), 271--287.

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  • Hafida Boudjellaba, Brenda McGibbon and Patrice Sawyer

    On inference for change in a Poisson sequence, preprint (1997).

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  • Philippe Bougerol.

    Comportement asymptotique des puissances de convolution d'une probabilité sur un espace symétrique, 29--45.

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  • Marta Bunge.

    On a synthetic proof of the Ambrose-Palais Singer theorem for infinitesimally linear spaces, Cahiers de topologie et géométrie différentielle catégoriques, vol. 28, 1987, 127--141.

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  • Marta Bunge & Serge Dubuc.

    Local concept in SDG and germ representability, pre-print, 1--66.

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  • Marta Bunge & Felipe Gago.

    Synthetic aspects of {\bf C} mappings II: Mather's theorem for infinitesimally represented germs, Report from dept. of Math. and Stat. of McGill University 87-6, 1987, 1--58.

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    Synthetic aspects of {\bf C} mappings II: Mather's theorem for infinitesimally represented germs, Journal of Pure and Applied Algebra 55, 1988, 213--250.

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  • M. Bunge & P. Sawyer.

    On connections, geodesics and sprays in synthetic differential geometry, Cahiers de topologie et géométrie différentielle catégoriques, vol. 25, 1984, 221--258.

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    AMS Subject Classification:

    C

  • Roberto Camporesi & Atsushi Higuchi.

    The Plancherel measure for $p$-forms in real hyperbolic spaces, pre-print, 1--35.

    Key words: heat (equation, kernel), Riemannian manifold, noncompact, homogeneous spaces, Laplacian (Beltrami-Laplace operator), spherical functions, symmetric space, zonal polnon-compact type, Harish-Chandra, Plancherel formula, hypergeometric functions.

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  • Elie Cartan.

    Domaines bornés homogènes de l'espace complexe variable complexe, Abdh. Math. Semi. Univ. Hamburg, 1955, %incomplete: 148--153

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  • William Casselman and Dragan Mili\v ci\'c.

    Asymptotic behavior of matrix coefficients of admissible representations, Duke Mathematical Journal, Vol. 49, No. 4, 1982, 869--930.

    Key words: Harish-Chandra, Lie groups, reductive group, Lie algebra, SL(n, $R$), Laplacian (Beltrami-Laplace operator), semisimple Lie groups (or algebras), Iwasawa decomposition, Cartan decomposition, spherical functions.

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  • O. A. Chalykh & A. P. Veselov.

    Commutative rings of partial differential operators and Lie algebras, Commun. Math. Phys. 126, 1990, 597--611.

    Key words: Lie algebra, root system, Laplacian (Beltrami-Laplace operator), symmetric space, zonal polynomials.

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  • Maurice Chayet.

    Some general estimates for the heat kernel on a symmetric space and related problems of integral geometry, Thesis, McGill University, 1990, 1--76.

    Key words: Abel transform, inversion of Abel trSL(n, $R$), reduLaplacian (Beltrami-Laplace operator), Riemfundamental solution, Anker, SU*(2n)/Sp(n), Lie algebra, Iwasawa decomposition, root, Cartan decomposition, Lie groups, Helgason.

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    Le comportement asymptotique du noyau de Green dans le cas des groupes semi-groupes déployés, pré-publication, 1994, 1--21.

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  • Jeff Cheeger & Shing-Tung Yau.

    A lower bound for the heat kernel, Communications on Pure and Applied Mathematics, vol. XXXIV, 1981, 465--480.

    Key words: Riemannian manifold, fundamental solution, Laplacian (Beltrami-Laplace operator), Brownian motion, Wiener process.

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  • Siu Cheng, Peter Li & Shing-Tung Yau.

    On the upper estimate of the heat kernel of a complete Riemannian manifold, Amer. Jour. of Math., vol. 103, no. 5, 1021--1063.

    Key words: noncompact, Laplacian (Beltrami-Laplace operator), semisimple Lie groups (or algebras).

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  • Claude Chevalley.

    Invariants of finite groups generated by reflections, Amer. Jour. Math., vol. 77, 1955, 778--782.

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  • C. Cocozza & M. Yor.

    Démonstration d'un théorème de F. Knight à l'aide de martingales exponentielles, Sém. Prob. XIV, Lectures Notes in Mathematics 784, (Springer-Verlag, New-York), 1980, 496--499.

  • Jean-Louis Clerc.

    Fonctions $K$ de Bessel pour les algèbres de Jordan, Lecture Notes in Mathematics 1359, (Springer-Verlag, New-York), 1988, 122--134.

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  • A. J. Coleman.

    Automorphisms of finite dimensional simple Lie algebras - variations on a theme of Victor Kac, pre-print, 1--17.

    Key words: Helgason, semisimple Lie groups (or algebras), Lie groups, symmetric space.

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  • Thierry Couhlon.

    Dimensions at infinity for Riemannian manifolds, Potential analysis 4: 335--344, 1995.

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  • Thierry Couhlon & Michel Ledoux.

    Isopérimétrie, décroissance du noyau de la chaleur et transformations de Riesz: un contre-exemple, Ark. Mat., 32 (1994), 63--77.

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  • J. Coursol and D. Dacunha-Castelle.

    Remarks on the approximation of the likelyhood function of a stationnary Gaussian process, ?, 162--167.

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    D

  • E. B. Davies.

    Explicit constants for Gaussian upper bounds on heat kernels, American Journal of Mathematics 109 (1987), 319--334.

    Key words: Laplacian (Beltrami-Laplace operator), Riemannian manifold.

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    Heat kernel bounds, conservation of probability and the Feller property, Journal d'analyse mathématique, Vol. 58 (1993), 99--119.

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    AMS Subject Classification: Explicit constants for Gaussian upper bounds on heat kernels, American Journal of Mathematics 109 (1987), 319--334.

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  • E. B. Davies & N. Mandouvalos.

    Heat kernel bounds on hyperbolic space and Kleinian groups, Proc. London Math. Soc. (3) 57, 1988, 182--208.

    Key words: Poisson Kernel, hypergeometric functions, Riemannian manifold.

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  • Les Davison.

    On the linear diophantine problem of Frobenius, Journal of Number theory, vol. 48, no. 3 September 1994, 353--363.

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    The complexity of the Frobenius function, preprint, 1--9.

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    Exponential growth in a class of difference equations, preprint, 1--10, 1977.

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    A class of transcendental numbers with bounded partial quotients, Number Theory and Applications, 365--371 (1989).

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  • Yu A. Davydov.

    Local times for a multiparameter random process, Theory of probability and its applications, Volume XXIII, Number 3, 1978, 573--583.

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  • Yu A. Davydov and A. L. Rozin.

    On sojourn times for functions and random processes, Theory of probability and its applications, Volume XXIII, Number 3, 1978, 633--637.

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  • Amédé Debiard.

    Polynômes de Tchébychev dans un espace euclidien de dimension p, C. R. Acad. Sc. Paris, t. 296 (11 avril 1983), 529--532.

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  • Amédé Debiard & Bernard Gaveau.

    Analysis on root systems, Can. J. Math., vol. 39, no. 6, 1987, 1281--1404.

    Key words: special functions, hypergeometric ffundamental solution, Laplacian (Beltrami-Laplace operator), heat (equation, kernel), Cartan decomposition, Harish-Chandra, hypergeometric functions, noncompact, Lie algebra, Lie groups, compact type.

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    Noyaux de la chaleur pour certaines équations hypergéoméetriques et applications aux espaces symétriques de rang 1. C. R. Acad. Sc. Paris, t. 303, Série I, no. 17, 1986.

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    Noyaux de la chaleur, systèmes de racines, et espace symétriques de type $B_2$. C. R. Acad. Sc. Paris, t. 303, Série I, no. 19, 1986.

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  • Jan Denef.

    Report on Igusa's local zeta function, Séminaire Bourbaki, no. 741, 1991, 1--25.

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  • J. Deshayes.

    Rupture de modès pour les processus de Poisson, ????

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  • S. Desjardins and P. Gilkey.

    Heat content asymptotics for operators of Laplace type with Neumann boundary conditions, preprint.

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  • Hacen Dib.

    Fonction hypergéométrique ${}_2F_1$ sur une algèbre de Jordan, C. R. Acad. Sci. Paris, t. 315, Série I, 25--30, 1992.

    Key words: Jack polynomials.

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    Fonction de Bessel sur une algèbre de Jordan, J. Math. pures et appliquées, 403--448, 1990.

    Key words: Jack polynomials.

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  • John P. Dirkse.

    An absorption probability for the Orstein-Uhlenbeck process. , J. Appl. Prob. 12, 595--599 (1975).

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  • Albrecht Dold.

    Eine geometrische Beschreibung des Fixpunktindexes , ARCH. MATH., 1974, Vol. XXV, 297--302.

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  • Catherine Donati-Martin.

    Transformation de Fourier et temps d'occupation browniens, C. R. Acad. Sci. Paris, t. 308, Série I, 515--517, 1989.

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  • Harold Donelly.

    Asymptotic expansions for the compact quotients of properly discontinuous group actions, Jour. Math., vol. 23, 1979, 485--496.

    Key words: Riemannian manifold, Laplacian (Beltrami-Laplace operator), symmetric space, fundamental solution, heat (equation, kernel), SL(n, $R$).

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  • Markus Dozzi.

    On the local time of the multiparameter wiener process and the asymptotic behaviour of an associated integral, Stochastics, 1988, Vol. 25, 155--169

    Key words: Multiparameter Wiener process, local time, ergodicity.

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  • L. E. Dubins.

    Le paradoxe de Hausdorff-Banach-Tarski, 71--77.

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  • Zbigniew Duszak & Waldemar W. Koczkodaj.

    Generaliztion of a new definition of consistency for pairwise comparisons, preprint, 1994, 1--5.

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  • Charles F. Dunkl.

    Differential-difference operators associated to reflection groups, Transactions of the American Mathematical Society, Volume 311, Number 1, 1989.

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    E

  • Bradley Efron.

    Defining the curvature of a statistical problem (with applications to second order efficiency), The Annals of Statistics, 1975, Vol. 3, No. 6, 1189--1242.

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  • Albert Einstein.

    Investigations on the theory of the Brownian movement, Ann. d. Phys. 17, 1985, 1--18.

    Key words: heat (equation, kernel).

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  • George A. Elliot & Thierry Giordano.

    Amenable actions of discrete groups, pre-print, 1--39.

    Key words: probability.

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  • M. F. Engel.

    Sur un groupe simple à quatorze paramètres, C. R. Acad. Sci. Paris 116 (1893), 786--788.

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  • L. D. Èskin.

    The heat equation and the Weierstrass transform on certain symmetric spaces, Amer. Math. Soc. Transl. 75, 1968, 239--255 %incomplete: 239--245, 254--255.

    Key words: fundamental solution, semisimple Lie groups (or algebras), spherical functions, zonal polynomials, Laplacian (Beltrami-Laplace operator).

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  • Pierre Eymard & Noël Lohoué.

    Sur la racine carrée du noyau de Poisson dans les espaces symétriques et une conjecture de E. M. STEIN, Ann. Scient. Ec. Norm. Sup., quatrième série, t. 8, 1975, 179--188.

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    F

  • Ruma Falk.

    On coincidences, 43--56.

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  • Jacques Faraut.

    Algèbre de Jordan et cônes symétriques, Ecole CIMPA, Univ. de Poitiers, 1988, 1--84.

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    Fonctions de Legendre sur une algèbre de Jordan, pre-print, 1992, 1--13.

    Key words: Jack polynomials.

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  • Jacques Faraut & Adam Koranyi.

    Fonctions hypergéométriques associés aux cônes symétriques, C. R. Acad. Sci. Paris, t. 307, Série I, 555--558, 1988.

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  • Jacques Faraut & Giancarlo Travaglini.

    Bessel functions associated with representations of formally real Jordan algebras, Journal of Functional Analysis 71, 123--141 (1987).

    Key words: special functions, hypergeometric functions, Domain of positivity, symmetric cone, Laplacian (Beltrami-Laplace operator).

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  • Giovanni Felder and Alexander Varchenko.

    Three formulae for eigenfunctions of integrable Schrödinger operators, Compositio Mathematica 107: 143--175, 1997.

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  • A. Fitouhi, N. H. Mahmoud and S. A. Ould Ahmed Mahmoud.

    Polynomial expansions for solutions of higher-order Bessel heat equations, Journal of mathematical analysis and applications 206, 155--167 (1997).

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  • Mogens Flensted-Jensen.

    Spherical functions on a real semisimple Lie group. A method of reduction to the complex case, Journal of Functional Analysis 30, 1978, 106--146.

    Key words: spherical Fourier transform, Plancherel formula, Harish-Chandra, symmetric space, Cartan decomposition, Lie algebra, noncompact, Iwasawa decomposition, Helgason, Laplacian (Beltrami-Laplace operator), non-compact type.

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    Discrete series for semisimple symmetric spaces, Annals of Mathematics, 111 (1980), 253--311.

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  • Gunther Frei.

    Ihn zweihundertsten Todestag von Leonard Euler, pre-print, 1984, 1--9.

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  • Harry Furstenberg.

    A Poisson formula for semisimple Lie groups, Annals of Mathematics, vol. 77, no. 2, March 1963, 335--386.

    Key words: probability, symmetric space, homogeneous spaces, Lie algebra, Iwasawa decomposition, Cartan decomposition, noncompact, martingale (sub-martingale, super-martingale).

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    G

  • J. Galambos.

    Distributions of arithmetical functions. A survey, Ann. Inst. Henri Poincaré, vol. 6, no. 4, 1970, 281--305.

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  • R. Gangolli.

    Asymptotic behaviour of spectra of compact quotients of certain symmetric spaces, Acta Math. 121, 1968, 151--192

    Key words: Laplacian (Beltrami-Laplace operator), fundamental solution, heat (equation, kernel), Plancherel formula, Cartan decomposition, Iwasawa decomposition, Harish-Chandra, Helgason, Lie algebra, fonctions de Legendre, heat (equation, ke

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  • Lars Garding.

    The solution of Cauchy's problem for two totally hyperbolic linear differential equations by means of Riesz integrals, Annals of Mathematics, vol. 48, no. 4, October 1947, 785--826.

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    Linear hyperbolic partial differentiation equations with constant coefficients, Acta Mathematics 85, 1950, %incomplete: 33--39

    Key words: fundamental solution.

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  • A. M. Garsia & E. Rodemich & H. Rumsey Jr.

    A real variable lemma and the continuity of paths of some Gaussian processes, Indiana Univ. Mathematics Journal, vol. 20, no. 6, 1970, 565-576.

    Key words: probability, Brownian motion, Wiener process, martingale (sub-martingale, super-martingale).

    AMS Subject Classification:

  • I. M. Gel'fand.

    Integral geometry and its relation to the theory of group representations, Russian Math. Surveys 15, no. 2, 1965, 143--151.

    Key words: homogeneous spaces, Lie groups, semisimple Lie groups (or algebras), Plancherel formula.

    AMS Subject Classification:

  • I. M. Gel'fand & M. I. Graev.

    Über eine allgemeine Methode zur Zerlegung der regul&aauml;ren Darstellung einer lieschen Gruppen in irreduzible Darstellungen, Doklady Akad. Naul SSSR, Band 92, Nr. 2, 1953, 221--224.

    Key words:

    AMS Subject Classification:

    Analogue of the Plancherel formula for real semisimple Lie groups (Russian), Akad. Nauk SSSR (N. S.) 92, 1953, 461--464.

    Key words:

    AMS Subject Classification:

    Geometry of homogeneous spaces, representations of groups in homogeneous spaces and related questions of integral geometry. I, 351--399.

    Key words: semisimple Lie groups (or algebras), spherical functions, Lie groups, symmetric space.

    AMS Subject Classification:

  • Maurice Gevrey.

    Sur l'analyticité de certaines équations aux dérivées partielles, Comptes Rendus de l'Académie des Sciences, vol. 152, 1911, 1564--1569.

    Key words:

    AMS Subject Classification:

  • Donald Geman and Joseph Horowitz.

    Occupation densities, The annals of Probability 1980, Vol. 8, No. 1, 1--67.

    Key words: Occupation density, local time, sample functions, Gaussian vectors fields, local nondeterminism, path oscillations, Markov processes. <

    AMS Subject Classification:

  • Peter B. Gilkey

    Heat content asymptotics of non-minimal operators, Topological Methods in Nonlinear Analysis, Journal of the Julius Schauder Center, Volume 3, 1994, 69--80.

    Key words: Riemannian manifold, fundamental solution, heat (equation, kernel).

    AMS Subject Classification:

  • S. G. Gindikin & F. I. Karplevic.

    Plancherel measure for Riemannian symmetric spaces of nonpositive curvature, Soviet Math. Dokl. 3, 1962, 962--965.

    Key words: semisimple Lie groups (or algebras), , Lie groups, Harish-Chandra, spherical functions, root system, Lie algebra.

    AMS Subject Classification:

  • Georges Giraud.

    Sur une classe de groupes discontinus de transformations birationnelles quadratiques et sur les fonctions de trois variables indépendantes restant invariantes par ces transformations, Annales Scientifiques de l'Ecole Normale Supérieure, troisième série, t. 32, 1915, 237--403.

    Key words:

    AMS Subject Classification:

    Sur les groupes des transformations semblables arithmétiques de certaines formes quadratiques quaternaires indéfinies et sur les fonctions hyperabéliennes correspondantes, Annales Scientifiques de l'Ecole Normale Supérieure, troisième série, t. 33, 1916, 303--329.

    Key words:

    AMS Subject Classification:

  • Saverio Giulini & Wolfgang Woess.

    The Martin compactification of the Cartesian product of two hyperbolic spaces J. reine angew. Math. 444 (1993), 17--28.

    Key words: symmetric space, spherical functions, Abel transform, probability, Laplacian (Beltrami-Laplace operator), Fatou theorem, heat (equation, kernel), non-compact type, Lie groups, Poisson Kernel.

    AMS Subject Classification: 43A85, 43A90, 43A05, 60B15

  • Piotr Graczyk. Loeb.

    Cramer theorem on symmetric spaces of noncompact type, Journal of theoretical probability, Vol. 7, No. 3, 1994.

    Key words: Symmetric spaces, Gaussian measure, spherical Fourier transform

    AMS Subject Classification:

  • Piotr Graczyk and Jean-Jacques Loeb.

    Abel transform estimates and a central limit theorem on symmetric spaces in the complex case Preprint, 1994, 1--21.

    Key words: Abel transform, probanoncompact, Anker, heat (equation, kernel), fundamental solution, Beerends, non-compact type, noncompact, semisimple Lie algebra, Harish-Chandra, Iwasawa decomposition, Laplacian (Beltrami-Laplace operator), SL(n, $R$).

    AMS Subject Classification: 43A85, 43A90, 43A05, 60B15

  • Alexander Grigor'yan.

    Heat kernel bounds on a complete con-compact manifold, Revista Matemática Ibergamricana, Vol.\ 10, No.\ 2, 1994.

    Key words:

    AMS Subject Classification:

  • Gaussian upper bounds for the heat kernel on arbitrary manifolds, J. Differential geometry, Vol. 45 (1997) 33--52.

    Key words:

    AMS Subject Classification:

  • Kenneth I. Gross & D. Richards.

    Special functions of matrix argument. I: Algebraic induction, zonal polynomials, and hypergeometric functions, Transactions of the American Mathematical Society, Volume 301, Number 2, November 1987.

    Key words: symmetric space, Lie groups, homogeneous spaces.

    AMS Subject Classification:

  • Heinrich Guggenheimer.

    Über komplex-analytische Mannigfaltigkeiten mit kählerscher Metrik, Commentarii Mathematici Helvetici, 1951, Vol. XXV, fasc. 4, 257--297.

    Key words:

    AMS Subject Classification:

  • Victor Guillemin and Matthew Stenzel.

    Grauert tubes and the homogeneous Monge-Ampère equation, J. Differential Geometry, 34 (1991) 561--570.

    Key words:

    AMS Subject Classification: Grauert tubes and the homogeneous Monge-Ampère equation II, J. Differential Geometry, 35 (1992) 627-641.

    Key words:

    AMS Subject Classification:

  • Yves Guivarc'h, Lizhen Ji and J. C. Taylor.

    Compactifications od symmetric spaces, Comptes Rendus de l'Academie des Sciences - Serie I - Mathematique, 1993, v.317, n.12, p.1103, 6p.

    Key words:

    AMS Subject Classification:

  • Kanghui Guo.

    On the p-approximation property for hypersurfaces of ${\bf R}^n$, Math. Proc. Camb. Soc., 1989, 503--511.

    Key words:

    AMS Subject Classification:

    H

  • Phil Hanlon.

    Jack symmetric functions and some combinatorial properties of Young symmetrizers, Journal of Combinatorial Theory, Series A 47, 37--70 (1988).

    Key words: spherical functions, zonal polynomials.

    AMS Subject Classification:

  • G. H. Hardy.

    The integration of functions of a single variable, Cambridge tracts in Mathematical Physics, 1--67.

    Key words:

    AMS Subject Classification:

  • Harish-Chandra.

    Faithful representations of Lie algebras, Annals of Mathematics, vol. 50, no. 1, January 1949, 68--76.

    Key words:

    AMS Subject Classification:

    On some applications of the universal enveloping algebra of a semisimple Lie algebra, Trans. Amer. Math. Soc., vol. 70, 1951, 38--96. %incomplete: 28--53.

    Key words: representation of semisimple Lie groups (or algebras), semisimple Lie groups (or algebras), Lie groups, root system.

    AMS Subject Classification:

    Representation of semisimple Lie groups on a Banach space, Proc. Natl. Acad. Sci. 37, 1951, 170--173.

    Key words: Lie algebra, spherical functions.

    AMS Subject Classification:

    Representation of semisimple Lie groups II, Proc. Natl. Acad. Sci. 37, 1951, 362--369.

    Key words:

    AMS Subject Classification:

    Representation of semisimple Lie groups IV, Proc. Natl. Acad. Sci. 37, 1951, 691--694.

    Key words:

    AMS Subject Classification:

    The Plancherel formula for semisimple Lie groups, Trans. Amer. Math. Soc. 76, 1954, 485--528. %incomplete: 506--528

    Key words: Lie algebra.

    AMS Subject Classification:

    Representation of a semisimple Lie group, Trans. Amer. Math. Soc., vol. 76, 1954, 234--253. %incomplete: 240--241

    Key words:

    AMS Subject Classification:

    Differential operators on a semisimple Lie algebra, Amer. J. Math. 79, 1957, 87--120.

    Key words: noncompact, homogeneous spaces.

    AMS Subject Classification:

    Fourier transform on a semisimple Lie group, Amer. Jour. of Math. 79, (1957), 193--257. %incomplete: 210--215

    Key words: Lie groups.

    AMS Subject Classification:

    Spherical functions on a semisimple Lie group I, Amer. Jour. Math. 80, 1958, 241--310.

    Key words: Plancherel formula, symmetric space, Lie algebra, homogeneous spaces.

    AMS Subject Classification:

    Spherical functions on a semisimple Lie group II, Amer. Jour. Math. 80, 1958, 553--613.

    Key words: Plancherel formula, Lie algebra.

    AMS Subject Classification:

  • William S. Hatcher.

    Calculus is Algebra, pre-print, 1--17.

    Key words:

    AMS Subject Classification:

  • A. Hba.

    Analyse harmonique sur ${\bf SL}(3, {\bf H})$, C. R. Acad. Sci. Paris, t. 305, Série I, 77-80, 1987.

    Key words:

    AMS Subject Classification:

  • G. J. Heckman.

    An elementary approach to the hypergeometric shift operators of Opdam, Invent. math. 103, 341--350 (1990).

    Key words:

    AMS Subject Classification:

  • G. J. Heckman & E. M. Opdam.

    Root systems and hypergeometric functions I, Comp. Math. 64, 329--352, 1987.

    Key words: symmetric space, spherical functions, Lie algebra, non-compact type, Laplacian (Beltrami-Laplace operator), Harish-Chandra, Helgason, SU*(2n)/Sp(n), Opdam.

    AMS Subject Classification:

  • Sigurdur Helgason.

    Differential operators on homogeneous spaces, Acta Math. 102, 1959, 239--299. %incomplete: 250--251, 269--299

    Key words: Riemannian manifold, Lie groups, noncompact, symmetric space, Laplacian (Beltrami-Laplace operator), Lie algebra, semisimple Lie groups (or algebras), Harish-Chandra, fundamental solution.

    AMS Subject Classification:

    Duality and Radon transforms on symmetric spaces, Amer. Jour. Math. 85, 1963, 667--691.

    Key words: non-compact type, Lie groups, Plancherel formula, Lie algebra, Iwasawa decomposition, Harish-Chandra.

    AMS Subject Classification:

    A duality in integral geometry; some generalizations of the Radon transform, Bull. Amer. Math. Soc. 70, 1964, 435--446.

    Key words: Laplacian (Beltrami-Laplace operator), representation of semisimple Lie groups (or algebras), noncompact, Plancherel formula, semisimple Lie groups (or alHarish-Chandra, Helgason, Riemannian manifold, homogeneous spaces, Iwasawa decomposition.

    AMS Subject Classification:

    Fundamental solutions of invariant differential operators on symmetric spaces, Amer. Jour. 86, 1964, 565--601.

    Key words: non-compact type, semisimple Lie groups (or algebras), Harish-Chandra, spherical functions, Radon transform, Laplacian (Beltrami-Laplace operator), Lie groups, Lie algebra, Iwasawa decomposition, Plancherel formula, Cartan decomposition.

    AMS Subject Classification:

    A duality for symmetric spaces with applications to group representations, Advances in Mathematics 5, 1970, 1--154. %incomplete: : 1--48, 152--154

    Key words: Radon transform, Plancherel formula, inverse of the Abel (or Radon) transform, Laplacian (Beltrami-Laplace operator), non-compact type, Harish-Chandra, Lie groups, Lie algebra, Cartan decomposition, Iwasawa decomposition

    AMS Subject Classification:

    Radon-Fourier transforms on symmetric spaces and related group representations, Bull. Amer. Math. Soc. 71, 1975, 757--763.

    Key words: semisimple Lie groups (or algebras), Iwasawa decomposition, Lie algebra, Harish-Chandra, Plancherel formula, spherical functions.

    AMS Subject Classification:

    Wave equations on homogeneous spaces, Springer Verlag Lecture Notes in Mathematics 1077, 1984, 254--287.

    Key words: Lie groups, symmetric space, Laplacian (Beltrami-Laplace operator), noncompact, Riemannian manifold, semisimple Lie groups (or algebras), Lie algebra, Cartan decomposition, fundamental solution, non-compact type.

    AMS Subject Classification:

    The flat horocycle transform for a symmetric space, Advances in Math., t. 91, 232--251, 1992.

    Key words: non-compact type, Radon transform, Lie groups, semisimple Lie groups (or algebras), noncompact, Iwasawa decomposition, Lie algebra, homogeneous spaces, spherical functions.

    AMS Subject Classification:

    Wave equations on homogeneous spaces (conference), Given at the Université de Montréal.

    Key words: Laplacian (Beltrami-Laplace operator), Riemannian manifold, symmetric space, semisimple Lie groups (or algebras).

    AMS Subject Classification:

    A Fatou-type theorem for harmonic functions on symmetric spaces, Bull. Amer. Math. Soc. 74, 1968, 258--263.

    Key words: Poisson Kernel, semisimple Lie groups (or algebras), Lie algebra, Laplacian (Beltrami-Laplace operator), Iwasawa decomposition, Harish-Chandra.

    AMS Subject Classification:

  • Karl-Heinz Helwing.

    Halbeinfache reelle Jordan-Algebren, Math. Z. 109, 1--28 (1969).

    Key words:

    AMS Subject Classification:

    Jordan-Algebren und symmetrische Raüme. I, Math. Z. 115, 315--349 (1970).

    Key words:

    AMS Subject Classification:

  • I. N. Herstein.

    Lie and Jordan structures in simple associative rings, Bulletin of the American Mathematical Society, 67, 1961, 517--531.

    Key words: Lie algebra.

    AMS Subject Classification:

  • Carl S. Herz.

    Bessel functions of matrix arguments, Annals of Mathematics, vol. 61, no. 3, May 1955, 474--523.

    Key words: special functions, hypergeometric functions, hypergeometric functions, fundamental solution.

    AMS Subject Classification:

    Remarque sur la note précédente de M. Varapopoulos, C. R. Acad. Sc. Paris, t. 260, 1965, 6001--6004.

    Key words:

    AMS Subject Classification:

    Sur le phénomène de Kunze-Stein, C. R. Acad. Sc. Paris, t. 271, 1970, 491--493.

    Key words:

    AMS Subject Classification:

    Une généralisation de la notion de transformée de Fourier-Stieltjes, Ann. Inst. Fourier, t. 24, 1974, 145--157.

    Key words:

    AMS Subject Classification:

    Les espaces symétriques pour piétons, Publications mathématiques d'Orsay, Séminaire d'analyse harmonique, 1978--1979, 1--63.

    Key words:

    AMS Subject Classification:

    A review of Essays in commutative harmonic analysis by Colin C. Graham and O. Carruth McGehee, Bulletin (New Series) of the AMS, vol. 7, no. 2, Sept 1982, 422--425.

    Key words: Lie groups, idempotent, probability.

    AMS Subject Classification:

    The Poisson Kernel for ${\bf SL}(3, {\bf R})$, Lecture Notes in Math. 1096, 1983, 333-346.

    Key words: semisimple Lie groups (or algebras), symmetric space, Laplacian (Beltrami-Laplace operator), probability, Lie algebra, non-compact type, Harish-Chandra, Iwasawa decomposition.

    AMS Subject Classification:

    Representations of Lie groups by contact transformations, pre-print, 1--31.

    Key words: Lie algebra, noncompact, homogeneous spaces, symmetric space, semisimple Lie groups (or algebras).

    AMS Subject Classification: 22E46, 33E15.

    Representations of Lie groups by contact transformations, I: compact groups, Report from the dept. of Math. and Stat. 89-35, McGill university, 1989, 1--9.

    Key words: Lie algebra, semisimple Lie groups (or algebras), symmetric space, noncompact, compact type, root system.

    AMS Subject Classification:

    CONNECTIONS.

    Key words:

    AMS Subject Classification:

    No title: On the heat kernel for the hyperbolic $(n+1)$-spaces.

    Key words: Riemannian manifold, fundamental solution.

    AMS Subject Classification:

    Symmetric spaces of non-compact type.

    Key words: LOST.

    AMS Subject Classification:

    The symmetric space.

    Key words: semisimple Lie groups (or algebras), non-compact type, Lie algebra, Poisson Kernel, Radon transform.

    AMS Subject Classification:

    The space of horocycles, 1--7.

    Key words: Lie algebra, non-compact type, semisimple Lie groups (or algebras), symmetric space, Lie groups, Radon transform, Harish-Chandra.

    AMS Subject Classification:

    Domains of positivity, 1--4.

    Key words: symmetric space.

    AMS Subject Classification:

    A maximal theorem, Proceedings of the American Mathematical Society, Vol. 12, No. 2, 229--233, 1961.

    Key words:

    AMS Subject Classification:

    The derivative of the exponential map, Proceedings of the American Mathematical Society, Vol. 112, No. 3, 909--233, 911.

    Key words:

    AMS Subject Classification:

    Splitting intervals, Statistics and Probability Letters 7 (1989) 3--7.

    Key words:

    AMS Subject Classification:

    Une généralisation de la notion de transformée de Fourier-Stietjes, Annales de l'institut Fourier de l'université de grenoble, Tome XXIV- Fascicule (1974).

    Key words:

    AMS Subject Classification:

    Alternating 3-forms and exceptional simple Lie groups of type $G_2$, Canadian Journal of Mathematics, Vol. XXXV, No. 5, 776--806, 1983.

    Key words:

    AMS Subject Classification:

    Harmonic analysis in Euclidean spaces, Proceedings of Symposia in pure mathematics, volume XXXV, Part 2, 361--373 (1979).

    Key words:

    AMS Subject Classification:

  • David V. Hinkley

    Inference about the change-point in a sequene of random variables, Biometrika (1970), 57, 1, 1--17.

    Key words:

    AMS Subject Classification:

  • David V. Hinkley and Elizabeth A. Hinkley.

    Inference about the change-point in a sequene of binomial variables, Biometrika (1970), 57, 3, 477--488.

    Key words:

    AMS Subject Classification:

  • Morris W. Hirsch.

    Convergence in ordinary and partial differential equations, lecture notes distributed at the 86-th summer meeting of the American Mathematical Society, 1982, 1--20.

    Key words:

    AMS Subject Classification:

  • Ulrich Hirzebruch.

    Halbraüme und ihre holomorphen Automorphismen, Math. Annalen 153, 1964, 395--417.

    Key words:

    AMS Subject Classification:

    Über Jordan-Algebren und kompakte Riemannsche symmetrische Raüme vom Rang 1, Math. Zeitschr. 90, 339--354 (1965) 153.

    Key words: Idempotent.

    AMS Subject Classification:

  • K. Hoechsmann.

    Singular values and the spectral theorem, Amer. Math. Monthly, 1990, 413--414.

    Key words:

    AMS Subject Classification:

  • W. Holszty\'nski & Waldemar W. Koczkodaj.

    The theoritical model for the abandoned mines budget allocation, Mathl. Comput. Modelling, Vol. 19, No. 1, 1--6, 1994.

    Key words:

    AMS Subject Classification:

  • Lars Hörmander.

    On the division of distributions by polynomials, Arkiv för Mathematik, 1958, 555--568.

    Key words: fundamental solution.

    AMS Subject Classification:

  • Bob Hoogenboom.

    Spherical functions and invariant differential operators on complex Grassmann manifolds, Ar. Mat. 20 (1982), 69--85.

    Key words: Complex Grassman manifold, spherical function, radial part of an invariant differential operator, hypergeometric function, Jacobi function.

    AMS Subject Classification:

  • Alfred Horn.

    On the eigenvalues of a matrix prescribed singular values, Proc. Amer. J. Math. Soc., 1954, 4--7.

    Key words:

    AMS Subject Classification:

    Doubly stochastic matrices and the diagonal of a rotation matrix, American Journal of Mathematics 76 (1954), 620--630.

    Key words:

    AMS Subject Classification:

  • Bei Hu & Hong-Ming Yin.

    The profile near blowup time for solution of the heat equation with a nonlinear boundary condition, Transactions of the American Mathematical Society, Volume 346, Number 1, November 1994.

    Key words:

    AMS Subject Classification:

  • Loo-Keng Hua.

    On the extended space of several complex variables (I): the space of complex spheres, Quarterly Journal of Mathematics, Oxford series, vol. 17, no. 68, 1945, 214--222.

    Key words: Lie groups.

    AMS Subject Classification:

    On the theory of Fuchsian functions of several variables, Annals of Math., vol. 47, no. 2, 1946, 167--191.

    Key words:

    AMS Subject Classification:

    Theory of harmonic functions in classical domains, Scientia Sinica, vol. 8, no. 10, 1959, 1031--1094. %incomplete: 1031--1039, 1074--1094.

    Key words: Riemannian manifold, Laplacian (Beltrami-Laplace operator), Poisson Kernel, homogeneous spaces.

    AMS Subject Classification:

    On the theory of functions of several complex variables. A complex orthonormal system in the hyperbolic space of the Lie hypersphere, 195--220.

    Key words:

    AMS Subject Classification:

  • Ray Hyman.

    Cold reading: How to convince strangers that you know all about them, Paranormal Borderlands of Science, 76--96.

    Key words:

    AMS Subject Classification:

    I

  • Ildar Ibragimov.

    Théorie des Probabilités - Sur la régularité des trajectoires des fonctions aléatoires, C. R. Acad. Sc. Paris, t. 289, Série A, 545--547.

    Key words:

    AMS Subject Classification:

    Peter Imkeller.

    Local times for a class of multi-parameter processes , Stochastics, 1984, Vol. 12, 143--157.

    Key words:

    AMS Subject Classification:

    Stochatic analysis and local times for (N,d)-Wiener process, , Ann. Inst. Henri Pointcaré, Vol. 20, no 1, 184, 75--101.

    Key words:

    AMS Subject Classification:

    Local times of continuous n-parameter strong martingales , Journal of multivariate analysis 19, 1986, 348--365.

    Key words: multi-parameter martingales, local times, Tanaka's formula.

    AMS Subject Classification: Primary 60G44; Secondary 60H05, 60G17

  • Peter Imkeller and Ferenc Weisz.

    The asymptotic behaviour of local times and occupation integrals of the N-parameter Wiener process in R^d , Springer-Verlag 1994, 47--75.

    Key words:

    AMS Subject Classification: 60G60, 60J55, 60G15, 60H05

  • B. Gail Ivanoff, Ely Merzbach, Markus Dozzi and Iona Schiopu-Kratina.

    Ste-indexed martingales: A collection of 4 papers, preprint, 1993.

    Key words: set-indexed Brownian motion, lattice, strong martingale, compensator.

    AMS Subject Classification: Primary 60G15, 60G48; Secondary 60G60

  • B. Gail Ivanoff and Ely Merzbach.

    A martingale characterization of the set-indexed Brownian motion, preprint, 1--9.

    Key words: set-indexed Brownian motion, lattice, strong martingale, compensator.

    AMS Subject Classification: Primary 60G15, 60G48; Secondary 60G60

    J

  • Nathan Jacobson.

    Cayley numbers and normal simple Lie algebras of type $G$, Duke Math. J. 5 (1939), 775--783.

    Key words:

    AMS Subject Classification:

    Jordan algebras of real symmetric matrices, Algebras, groups and geometries 4 (1987) 291--304.

    Key words:

    AMS Subject Classification:

  • Michel Jacques.

    Modular Invariance in String Theories, pre-print, Report from the Dept. of Math. and Stat. of McGill University, 1989, 1--90.

    Key words: Lie algebra, Lie groups.

    AMS Subject Classification:

  • A. T. James.

    Calculation of zonal polynomial coefficients by use of the Laplace-Beltrami operator, The Annals of Mathematical Statistics, 1968, Vol. 39, No. 5, 711--1718.

    Key words: spherical functions, Helgason, fonctions de Legendre.

    AMS Subject Classification:

  • R. G. Jarret.

    A note on the intervals between coal-mining disasters, Biometrika (1979), 66, 1, 191--193.

    Key words:

    AMS Subject Classification:

  • Barry Jessup.

    New estimates for the collapse of the Milnor-Moore spectral sequence over a field, Proceeding of the Amer. Math. Soc., vol. 114, no. 4, April 1992, 1115--1117.

    Key words:

    AMS Subject Classification:

  • Fritz John.

    The fundamental solution of linear elliptic differential equations with analytic coeffcients, Communications on pure and applied mathematics 3 (1950), 273--304.

    Key words:

    AMS Subject Classification:

    K

  • Mark Kac.

    Can one hear the shape of a drum ?, Amreican Mathematical Monthly 73, 1966, 1--23.

    Key words:

    AMS Subject Classification:

  • F. I. Karplevic.

    The geometry of geodesics and the egenfunctions of the Beltrami-Laplace operator on symmetric spaces, Trans. Moscow Math. Soc. (14), 1965, 51--199. %incomplete: 51--102, 154--199

    Key words: semisimple Lie groups (or algebras), homogeneous spaces, Lie algebra.

    AMS Subject Classification:

  • F. I. Karplevic, V. N. Turubalin, M. G. Schur.

    Limit theorems for the compositions of distributions in the Lobachevsky plane and space.

    Key words: homogeneous spaces, Laplacian (Beltrami-Laplace operator), spherical functions, fonctions de Legendre, probability.

    AMS Subject Classification:

  • Vladimir A. Kazakov, Thomas Winter.

    Large $N$ phase transition in the heat kernel on the $U(N)$ group, Nuclear Physics B 440 (1995) 407--420.

    Key words:

    AMS Subject Classification:

  • Ivan W. Kelly & Don H. Saklofske.

    Alternative explanations in science: the extroversion-introversion astrological effect, 222--227.

    Key words: Poisson Kernel, SL(n, $R$), noncompact, semisimple Lie groups (or algebras), symmetric space, homogeneous spaces, Harish-Chandra, Helgason, Lie algebra.

    AMS Subject Classification:

  • A. W. Knapp.

    Fatou's theorem for symmetric spaces: I, Annals of Math. (2) 88, 1968, 106--127.

    Key words: semisimple Lie groups (or algebras), Poisson Kernel, Lie algebra, Cartan decomposition, SL(n, $R$), Helgason.

    AMS Subject Classification:

  • A. W. Knapp and R. E. Williamson.

    Poisson integrals and semisimple group, Jour. Analyse Math., 1971, 53--76.

    Key words: semisimple Lie groups (or algebras), Poisson Kernel, Fatou theorem, SL(n, $R$), Iwasawa decomposition, Lie algebra, Harish-Chandra.

    AMS Subject Classification:

  • Waldemar W. Koczkodaj.

    A new definition of consistency of pairwise comparisons, Mathl. Comput. Modelling, Vol. 18, No. 7, 79--84, 1993.

    Key words:

    AMS Subject Classification:

  • Joseph J. Kohn.

    Formes intégro-différentielles non-coercives, pre-print, 1966, 1--68.

    Key words:

    AMS Subject Classification:

  • Tom Koornwinder.

    A new proof of a Paley-Wiener type theorem for the Jacobi transformation, Archiv für Mathematik 13, 1975, 145--159.

    Key words: hypergeometric functions, Radon transform, symmetric space, Helgason, spherical functions, spherical Fourier transform, noncompact, fonctions de Legendre.

    AMS Subject Classification:

    Jacobi transformations and analysis on noncompact semisimple Lie groups, in special functions: group theoretical aspects and applications, R. A. Askey & al. (eds), Reidel, 1984.

    Key words: Abel transform, SL(n, $R$), spherical Fourier transform, hypergeometric functions, Helgason, fonctions de Legendre, Harish-Chandra, Lie algebra, Cartan decomposition, Iwasawa decomposition, Laplacian (Beltrami-Laplace operator), homogeneous spaces.

    AMS Subject Classification:

  • Adam Koranyi.

    A survey of harmonic functions on symmetric spaces, Proceedings of Symposia in Pure Mathematics, Vol. XXXV, Part I, 1979, 323--344.

    Key words: homogeneous spaces, Laplacian (Beltrami-Laplace operator), Helgason, non-compact type, noncompact, semisimple Lie groups (or algebras), Poisson Kernel, Fatou theorem, Lie algebra, Cartan decomposition.

    AMS Subject Classification:

  • Bertram Kostant.

    On convexity, the Weyl group and the Iwasawa decomposition, Ann. Scient. Éc. Norm. Sup. $4^{\mbox{e}}$ série, t. 6, 1973, 413--455.

    Key words: semisimple Lie groups (or algebras), Lie algebra, Harish-Chandra, spherical functions, Cartan decomposition, symmetric space, Lie groups.

    AMS Subject Classification:

  • G. Köthe.

    Die Randverteilungen analytischer Funktionen, Math. Zeitschr. Bd. 57, 1952, 13--33.

    Key words:

    AMS Subject Classification:

  • Mark I. Krusemeyer.

    Determining multiplicities of dominant weights in irreducible Lie algebras representations using a computer, Bit 11 (1971), 310--316.

    Key words:

    AMS Subject Classification:

  • N. V. Krylov and M. V. Safonov.

    A certain property of solutions of parabolic equations with measurable coefficients, Math. USSR Izvestija, Vol. 16 (1981), No. 1, 151--164.

    Key words: Harish-Chandra.

    AMS Subject Classification:

  • R. A. Kunze & E. M. Stein.

    Analytic continuation of the principal series, Bulletin of the American Mathematical Society, 67, 1961, 593--596.

    Key words: SL(n, $R$).

    AMS Subject Classification:

  • Paul Kurtz & Andrew Fraknoi.

    Scientific tests of astrology do not support its claim, 219--221.

    Key words:

    AMS Subject Classification:

  • Árpád Kurusa.

    A characterization of the Radon transform and its dual on Euclidean space, Acta Sci. Math. 54, 273--276, 1990.

    Key words:

    AMS Subject Classification:

    A characterization of the Radon transform's range by a system PDEs, Math. analysis and applications, vol. 161, no. 1, Oct. 1991, 218--226.

    Key words: Helgason.

    AMS Subject Classification:

    Translation invariant Radon transforms, Mathematica Balkanica, vol. 5, 1991, 40--46.

    Key words:

    AMS Subject Classification:

    The Radon transform on hyperbolic space, Geometrica Dedicata 40, 325--339, 1991.

    Key words: Radon transform, spherical harmonics, hyperbolic geometry, Helgason.

    AMS Subject Classification: 44a05.

    You can recognize the shape of a figure from its shadows !, pre-print, 1--16.

    Key words: convex geometry, Radon transform.

    AMS Subject Classification: 0052, 0054.

    The shadow picture problem for nonintersecting curves, pre-print, 1--12.

    Key words: convex geometry.

    AMS Subject Classification: 0052, 0054.

    The Radon transform on half sphere, pre-print, 1--16.

    Key words: Radon transform, spherical harmonics, elliptic geometry, Helgason.

    AMS Subject Classification: 44a05.

    The invertibility of the Radon transform on abstract rotational manifolds of real type, pre-print, 1--16.

    Key words: Radon transform, rotational manifold, spherical harmonics, Riemannian manifold.

    AMS Subject Classification: 44a05.

    Support theorems for totally geodesic Radon transforms on constant curvature spaces, pre-print, 1--15.

    Key words: Radon transform, constant curvature spaces, Riemannian manifold, Helgason.

    AMS Subject Classification: 44a05, 53c65.

    Support curves of invertible Radon transforms, pre-print, 1--15.

    Key words: Radon transform, spherical harmonics.

    AMS Subject Classification: 44a05, 45d055.

    L

  • Luc Lapointe and Luc Vinet.

    Exact operator solution of the Calogero-Sutherland model, preprint (CRM-2272), 1995.

    Key words: Calogero-Sutherland model, Jack polynomials, Dunkl operators.

    AMS Subject Classification:

    A Rodrigues formula for the Jack polynomials and the Macdonald-Stanley conjecture, preprint (CRM-2294), 1995.

    Key words: Calogero-Sutherland model, Jack polynomials, Dunkl operators.

    AMS Subject Classification:

  • Michel Lassalle.

    Une formule de Pieri pour les polynômes de Jack, C. R. Acad. Sci. Paris, t. 309, Série I, p. 941--944, 1989.

    Key words: Jack polynomials.

    AMS Subject Classification:

    Une formule du binôme généralisé pour les polynômes de Jack, C. R. Acad. Sci. Paris, t. 310, Série I, p. 253--256, 1990.

    Key words: Jack polynomials.

    AMS Subject Classification:

    Coefficients du binôme géénéralisés, C. R. Acad. Sci. Paris, t. 310, Série I, p. 257--260, 1990.

    Key words: Jack polynomials.

    AMS Subject Classification:

    Algèbre de Jordan et ensemble de Wallach, Inventionnes mathematicae, 89, 375--393, 1987.

    Key words:

    AMS Subject Classification:

  • Yi Li.

    Asymptotic behavior of positive solutions of equation $\Delta U + K(x) U^p = 0$ in ${\bf R}^n$, Journal of Diff. Equ., vol. 95, no. 2, Feb. 92, 304--330.

    Key words:

    AMS Subject Classification:

  • Yi Li and Wei-Ming Ni.

    Radial symmetry of positive solutions of nonlinear elliptic equations in ${\bf R}^n$, pre-print, 1--8.

    Key words:

    AMS Subject Classification:

  • Bong H. Lian and Gregg J. Zuckerman.

    BRST cohomology and highest weight vectors. I, Commun. Math. Phys. 135, 547--580 (1991).

    Key words: noncompact, Lie algebra.

    AMS Subject Classification:

  • Lars-Ake Lindahl.

    Fatou's theorem for symmetric spaces, Ark. Mat. 10, 1972, 33--47.

    Key words: non-compact type, Helgason, semisimple Lie groups (or algebras), Iwasawa decomposition, Harish-Chandra, Lie algebra, Cartan decomposition, Iwasawa decomposition.

    AMS Subject Classification:

  • Noël Lohoué.

    Comparaison des champs de vecteurs et des puissances du Laplacien sur une variété Riemannienne à courbure non positive, Journal of Functional Analysis 61, 1985, 164--201.

    Key words:

    AMS Subject Classification:

    Sur les représentations uniformément bornées et le théorème de convolution de Kunze-Stein, Osaka J. Math. 18, 1981, 465--480.

    Key words:

    AMS Subject Classification:

    Transformées de Riesz et fonctions sommables, pre-print, 1--35.

    Key words:

    AMS Subject Classification:

  • Ming Ling.

    The Brownian motion and the canonical stochastic flow on a symmetric space, Transactions of the American Mathematical Society, V. 341, Numer 1, 1994.

    Key words:

    AMS Subject Classification:

  • Noël Lohoué--Thomas Rychener.

    Die Resolvente von $\Delta $ auf symmetrischen Raümen vom nichtkompakten Typ, Comment. Math. Helv. 57, 1982, 445--468.

    Key words:

    AMS Subject Classification:

  • Lu Qikeng.

    The horo-cycle coordinate and its application, Chinese science bulletin, Vol. 40, No. 5, 1995.

    Key words:

    AMS Subject Classification:

    M

  • I. G. Macdonald.

    Spherical functions on a group of p-adic type, Ramanujan Institute, Centre for Advanced Study in Mathematics, University of Madras, India, 1--79, (1970).

    Key words: root system, Cartan decomposition, Iwasawa decomposition, Helgason.

    AMS Subject Classification:

    Commuting differential operators and zonal spherical functions, Algebraic groups Utrecht, Lecture Notes in Mathematics 1271, (Springer-Verlag, New-York), 1987, 189--200.

    Key words: Jack polynomial (Jack symmetric function), zonal polynomials, symmetric space, noncompact, semisimple Lie groups (or algebras), root system, Laplacian (Beltrami-Laplace operator).

    AMS Subject Classification:

  • Marie-Paule Malliavin and Paul Malliavin.

    Intégrales de Lusin Calderon pour les fonctions biharmoniques, Bull. Sc. Math., Deuxième série 101, 1977, 357--384.

    Key words:

    AMS Subject Classification:

    Factorisation et lois limites de la diffusion horizontale au-dessus d'un espace riemannien sym\'etrique, Lecture Notes in Mathematics 404, (Springer-Verlag, New-York), 1974, 164--217.

    Key words:

    AMS Subject Classification:

  • Benoit B. Mandelbrot & John W. Van Ness.

    Fractional Brownian motions, fractional noises and applications, SIAM Review, vol. 10, no. 4, October 1968, 422--437.

    Key words: Brownian motion, Wiener process.

    AMS Subject Classification:

  • H. Massan and Erhard Neher.

    On transformations and determinants of Wishart variables on symmetric cones, preprint, 1993.

    Key words: Wishart, projection, Domain of positivity, symmetric cone, analysis of variance, Frobenius transformation, Euclidean Jordan algebras, idempotent.

    AMS Subject Classification:

    On Jordan algebra, preprint, 1993.

    Key words: idempotent, Domain of positivity, symmetric cone.

    AMS Subject Classification:

  • Christopher Meaney.

    The inverse Abel transform for SU(p, q), Ark. Math. 24 (1968), 131--140.

    Key words: noncompact, symmetric space, Iwasawa decomposition, Abel transform, Lie algebra, Radon transform, Helgason, semisimple Lie groups (or algebras), Cartan decomposition, SL(n, $R$).

    AMS Subject Classification:

  • R. S. Millman & Ann K. Stehney.

    The geometry of connections, Math. Monthly, May 1973, 475--500.

    Key words: Lie groups, Riemannian manifold.

    AMS Subject Classification:

  • Rached Mneimné.

    Équation de la chaleur sur un espace Riemanien symétrique et formule de Placherel, Bull. Sc. math. 2-ième série 107, 1983, p. 261-287.

    Key words:

    AMS Subject Classification:

  • Louis Boutet de Monvel.

    Convergence dans le domaine complexe des séries de fonctions propres, C. R. Sc. Paris, t. 287 (1978).

    Key words:

    AMS Subject Classification:

  • G. D. Mostow.

    Some new decompositions theorems for semisimple Lie groups, Mem. Amer. Math. Soc. 14 (1955), 31--54.

    Key words: Cartan decomposition, Lie algebra, Lie groups.

    AMS Subject Classification:

  • Allen Moy.

    Minimal $k$-types for $G_2$ over a $p$-adic field, Americain Math. Soc., 517--529, 1988. %incomplete: 517--519, 522--529.

    Key words: Lie algebra, root system.

    AMS Subject Classification:

  • T. S. Bhanu Murti.

    Plancherel's measure for the factor space ${\bf SL}(n;{\bf R})/{\bf SO}(n;{\bf R})$, Soviet Math. Dokl. 1, 1960, 860--862.

    Key words: semisimple Lie groups (or algebras), spherical functions, Harish-Chandra, symmetric space.

    AMS Subject Classification:

  • S. B. Myers and N. E. Steenrod.

    The group of isometries of a Riemannian manifold, Annals of Mathematics, vol. 40, no. 2, April 1939, 400--416.

    Key words: Lie groups.

    AMS Subject Classification:

    N

  • F. S. Nasyrov.

    On the derivative of local time for the Brownian sheet with respect to a space variable, Theory Proba. Appl. Vol. 32, No. 4 (1986)

    Key words:

    AMS Subject Classification:

  • Erhard Neher.

    On tridiagonal elements and centralizers in Jordan Triple systems, Journal of Algebra, Vol. 90, No. 1, September 1984, 18--36.

    Key words: Jordan algebra.

    AMS Subject Classification:

    On the Andersson-Perlman cone: a mathematical theory for lattice conditional independence models with covariance matrices in symmetric cones, preprint, 1--16.

    Key words: Symmetric cone, Euclidean Jordan algebra, Frobenius coordinates, rings of sets, Andersson-Perlman cone.

    AMS Subject Classification: Primary 17C36; Secondary 17C27, 62Hxx

  • Shizuhiko Nishisato.

    Mathematical Expressions of dual scaling, Draft for the proceedings of the second Canadian conference on applied statistics, 1981, 1--37.

    Key words:

    AMS Subject Classification:

  • Marc Noé.

    The calculation of distributions of two-sided Kolmogorov-Smirnov type statistics, The Annals of Mathematical Statistics, 1972, Vol. 43, No. 1, 58--64.

    Key words:

    AMS Subject Classification:

  • Takaaki Nomura.

    Manifold of primitive idempotents in a Jordan-Hilbert algebra, pre-print, 1--35.

    Key words: Jordan algebra, Riemannian manifold, Lie groups.

    AMS Subject Classification:

  • Tommy Norberg.

    Stochastic integration on lattices, No 1989-08/ISSN0347-2809.

    Key words:

    AMS Subject Classification:

  • J. R. Norris.

    Heat kernel bounds and homogenization of elliptic operators, Bulletin of the London Mathematical Society, 1994, v. 26, n. 118, p. 75--88.

    Key words:

    AMS Subject Classification:

  • J. R. Norris, L. C. G. Rogers and David Williams.

    Brownian motions of ellipsoids, Transactions of the American mathematical Society, volume 294, number 2, April 1986.

    Key words: Brownian motion of ellipsoids, eigenvalues, eigenvectors, positive-definite matrices, orthogonal group, Stratonovich differential, It\^o's formula.

    AMS Subject Classification:

    O

  • Todd Ogden and Webster West.

    Change-Points in Poisson data, University of South Carolina, Department of Statistics (WEB)

    Key words:

    AMS Subject Classification:

  • M. A. Olshanetsky and A. M. Perelomov.

    Quantum integrable systems related to Lie algebras, Physics Report 94, no. 6, 313--404, 1983.

    Key words: root system, symmetric space, Laplacian (Beltrami-Laplace operator), spherical functions, homogeneous spaces, Lie groups, Harish-Chandra, hypergeometric functions.

    AMS Subject Classification:

  • E. M. Opdam.

    Root systems and hypergeometric functions III, Comp. Math. 67, 21--49, 1988.

    Key words: Harish-Chandra.

    AMS Subject Classification:

    Root systems and hypergeometric functions IV, Comp. Math. 67, 191--209, 1988.

    Key words: Harish-Chandra, noncompact, symmetric space.

    AMS Subject Classification:

    Some applications of hypergeometric shift operators, Invent.\ math.\ 98, 1--18 (1989).

    Key words:

    AMS Subject Classification:

    Dunkl operators, Bessel functions and the discriminant of a finite Coxeter group, Comp. Math. 85, 333-373, 1993.

    Key words:

    AMS Subject Classification:

    Harmonic analysis for certain representations of graded Hecke algebras, Acta Mathematica, 175 (1995), 75--121.

    Key words:

    AMS Subject Classification: An analogue of the Gauss summation formula for hypergeometric functions related to root systems, Mathematische Zeitschrift 212 (1993), 313--336.

    Key words:

    AMS Subject Classification:

  • Steven Orey.

    Probabilistic methods in partial differential equations, Coll: Studies in partial diff. equat., 143--205, W. Littman ed. MAA Studies in Math., 23, 1982

    Key words:

    AMS Subject Classification:

    P

  • Holger P. Petersson and Michel Racine.

    Exceptional Jordan division algebras, contemporary Mathematics, 1982, Volume 13, 307--316.

    Key words:

    AMS Subject Classification:

  • A. N. Pettitt.

    A simple cumulative sum type statistics for the change-point problem with zero-one observations, Biometrika (1980), 67, 1, 79--84.

    Key words:

    AMS Subject Classification:

  • R. Bruce Pettitt.

    The group of isometries of a connected Riemannian manifold, preprint, 1--4.

    Key words:

    AMS Subject Classification:

  • A. Pianzola.

    On automorphisms of semisimple Lie algebras, pre-print, 1--17.

    Key words: root system.

    AMS Subject Classification:

  • Jean-Paul Pier.

    Some views on the evolution of harmonic analysis, 1--16.

    Key words: Brownian motion, Wiener process, Lie groups, semisimple Lie groups (or algebras), noncompact.

    AMS Subject Classification:

    R

  • P. Révész.

    On the increments of the local time of a Wiener sheet , Journal of multivariate analysis 16, 1985, 277--289.

    Key words: Wiener process, Wiener sheet, local time, continuity, modulus, occupation time, strong limit theorems.

    AMS Subject Classification: Primary 60J55; Secondary 60J65, 60F15

  • Marcel Riesz.

    L'intégrale de Riemann-Louville et le problème de Cauchy, Acta Mathematica, 81, (1949), 1--223. %incomplete: 1--25.

    Key words:

    AMS Subject Classification:

  • Thomas D. Rossing, D. Scott Hampton and Uwe J. Hansen.

    Music from oil drums: the acoustics of the steel pan, Physics today, March 1996, 24--29.

    Key words:

    AMS Subject Classification:

  • W. Rossmann.

    Equivariant multiplicities on complex varieties, Société Math. de France, 1989, 313--330.

    Key words: representation of semisimple Lie groups (or algebras), Lie algebra, Lie groups.

    AMS Subject Classification:

  • L. Preiss Rotschild.

    Invariant polynomials and conjugacy classes of real Cartan subalgebras, Indiana University Mathematics Journal, vol. 21, no. 2, 1971, 115--121.

    Key words: semisimple Lie groups (or algebras), Lie algebra, Lie groups, Helgason, SL(n, $R$).

    AMS Subject Classification:

  • Siddharta Sahi.

    Interpolation, integrability, and a generalization ofd Macdonald's polynomials, preprint, 1995.

    Key words:

    AMS Subject Classification:

  • L. Saloff-Coste.

    Uniformely elliptic operators on Riemannian manifolds, J. Differential Geometry 36 (1992) 417--450.

    Key words: Harnack inequality, heat (equation, kernel), Laplacian (Beltrami-Laplace operator).

    AMS Subject Classification:

    A note on Poincaré, Sobolev, and Harnack inequalities, International Mathematics Research Notes, 1992, No. 227--38 (in Duke Math. Journal 65--66 (1992)).

    Key words: Lie groups, Riemannian manifold.

    AMS Subject Classification:

    S

  • B. Saffari.

    Problèmes ouverts et résultats sur les ensembles parfaits. , preprint, 1--7.

    Key words:

    AMS Subject Classification:

  • Marta Sanz.

    Local time for two-parameter continuous martingales with respect to the quadratic variation, The Annals of Probability, 1988, Vol. 16, No. 2, 778--792.

    Key words: Local time, two-parameter martingales, quadratic variation.

    AMS Subject Classification: 60H99

  • Fumihiro Sato.

    Zeta functions in several variables associated with prehomogeneous vector spaces III: Eisentein series for indefinite quadratic forms, Annals of Math. (116), 177--212 (1982).

    Key words:

    AMS Subject Classification:

  • Patrice Sawyer.

    The heat equation on the symmetric space associated to ${\bf SL}(n, {\bf R})$, Thesis, McGill University, 1989, 1--123.

    Key words:

    AMS Subject Classification:

    The heat equation on spaces of positive definite matrices, Canadian Journal of Mathematics, Volume 44, Number 3, 1992, 624--651.

    Key words:

    AMS Subject Classification:

    The inverse of the Abel transform on ${\bf SU}^{\star}(2n)/{\bf Sp}(n)$, preprint, 1992, 13 pages.

    Key words:

    AMS Subject Classification:

    On an upper bound for the heat kernel on ${\bf SU}^\star(2n)/{\bf Sp}(n)$, Canadian Bulletin of Mathematics, Volume 37, Number 3, 1994, pp. 408--418.

    Key words:

    AMS Subject Classification:

    Spherical functions on symmetric cones, Transactions of the American Mathematical Society, 349 (1997), 3569--3584.

    Key words: Jack polynomial, Jordan algebra, partition, symmetric function.

    AMS Subject Classification:

    Estimates for the heat kernel on ${\bf SL}(n,{\bf R})/{\bf SO}(n)$, Canadian Journal of Mathematics, Volume 37, Number 3, 1994, 408--418.

    The spherical functions of the symmetric space SO_0(p,q)/SO(p)xSO(q) , submitted to the Canadian Bulletin of Mathematics, 1997.

    Key words:

    AMS Subject Classification:

    The eigenfunctions of a Schrödinger operator associated to the root system $A_{n-1}$ , to appear in the Quaterly Journal of Mathematics, March 1999, 1--13.

    Key words:

    AMS Subject Classification:

  • Jiro Sekiguchi.

    An Euler Ttype integral formula for zonal spherical functions on SO_0(m,2)/ SO(m)xSO(2), Bulletin of the University of Electro-Communication, 4-1, 87--103.

    Key words: Cartan decomposition.

    AMS Subject Classification:

    Zonal spherical functions on some symmetric spaces, Publ. RIMS, Kyoto Univ. 12 Suppl. (1977), 455-464.

    Key words:

    AMS Subject Classification:

  • A. J. Scott and M. Knott.

    A cluster analysis method for grouping means in the analysis of variance, Biometrics 30, 507-512, 1974.

    Key words:

    AMS Subject Classification:

  • George B. Seligman.

    On automorphisms of Lie algebras of classical type. II, Trans. Am. Math. Soc. 94 (1960, 452--482.

    Key words: Cartan decomposition.

    AMS Subject Classification:

  • Richard P. Stanley.

    Some combinatorial properties of Jack symmetric polynomials, Advances in Mathematics 77, 76--115 (1989).

    Key words:

    AMS Subject Classification:

  • Robert J. Stanton and Peter A. Tomas.

    Expansions for spherical functions on noncompact symmetric spaces, Acta Math. 140 (1978), 251-276.

    Key words:

    AMS Subject Classification:

  • John R. Stembridge.

    A Maple package for symmetric functions (version 2), 1993.

    Key words:

    AMS Subject Classification:

  • Robert S. Strichartz.

    Harmonic analysis as spectral theory of Laplacians, Jour. of Func. Anal., vol. 87, no. 1, Nov. 1989, 51--148.

    Key words: Plancherel formula, symmetric space, fonctions de Legendre, Helgason, semisimple Lie groups (or algebras), noncompact, Riemannian manifold, heat (equation, kernel), non-compact type, Lie algebra, spherical functions.

    AMS Subject Classification:

    Complementary series and exotic Sobolev norms, pre-print, 1--29.

    Key words: symmetric space, SO(p, q), Lie groups, Riemannian manifold, fonctions de Legendre, hypergeometric functions, Laplacian (Beltrami-Laplace operator).

    AMS Subject Classification:

    Analysis of the Laplacian on the complete Riemannian manifold, Journal of Functional Analysis 52, 1983, 48--79.

    Key words: noncompact, heat (equation, kernel), Poisson Kernel.

    AMS Subject Classification:

  • Mitsuo Suguira.

    Conjugate classes of Cartan subalgebras in real semisimple Lie algebras, Jour. of the Math. Soc. of Japan, vol. 11, no. 4 Oct. 1959, 374--434. %incomplete: 374--379, 396--401

    Key words: SL(n, $R$), noncompact, Lie algebra, Harish-Chandra, root system, Lie groups, Cartan decomposition.

    AMS Subject Classification:

  • Ulrich Suter.

    Die Nicht-Existenz von Schnittflächen komplexer Stiefel-Mannigfaltigkeiten, Math. Z 113, 1970, 196--204.

    Key words:

    AMS Subject Classification:

  • Olof Svensson.

    On generalized Fatou theorems, Thesis, Göteborg, 1994.

    Key words: Poisson Kernel, symmetric space, SL(n, $R$), Laplacian (Beltrami-Laplace operator), Riemannian manifold, Lie groups, non-compact type, semisimple Lie groups (orHarish-Chandra, Helgason, Iwasawa decomposition, Lie algebra, homogeneous spaces,

    AMS Subject Classification:

    T <

  • Reiji Takahashi.

    Sur les représentations unitaires des groupes de Lorentz généralisés, Bull. Soc. math. France, 91, 1963, 289-433.

    Key words:

    AMS Subject Classification:

  • J. C. Taylor.

    Brownian motion on a symmetric space of non-compact type: asymptotic behaviour in polar coordinates, Can. J. Math. Vol. 43 (5), 1991, 1065--1085.

    Key words:

    AMS Subject Classification: Notes on the hyperbolic disk.

    Key words:

    AMS Subject Classification:

  • Colin J. Thompson.

    Inequalities and partial orders on matrix spaces , Indiana University Mathematics Journal, 1971, Vol. 21, No. 5, 469--480.

    Key words:

    AMS Subject Classification:

  • Philippe Tondeur.

    Fast-komplexe Strukturen auf einer Lieschen gruppe , Separatdruck aus Commentarii Mathematici Helvetici, 1963, vol. 38, fasc. 1, 14--25.

    Key words:

    Ams Subject Classification:

  • K. Trimèche.

    Transformation intégrale de Weyl et un théorème de Paley-Wiener associé à un opérateur différentiel singulier sur $(0, \infty)$, J. Math. pures et appl., vol. 60, 1981, 51--96.

    Key words:

    AMS Subject Classification:

  • Georges Trottier.

    Recueil de théorèmes de sommation pour les séries hypergéométriques généralisées ordinaires, Département de mathématiques, Université Laval, 1968.

    Key words:

    AMS Subject Classification:

  • Neil S. Trudinger.

    Local estimates for subsolutions and supersolutions of general second order elliptic quasilinear equations, Inventiones Math. 61, 67--79 (1980).

    Key words: Harish-Chandra.

    AMS Subject Classification:

    U

  • André Unterberger.

    L'oscillateur relativiste et les fonctions de Mathieu, Bull. Soc. math. de France, 121, 1993, p. 479--508.

    Key words:

    AMS Subject Classification:

    Une généralisation de la fonction hypergéométrique et des fonctions sphériques de rang 1, C. R. Acad. Sci. Paris, t. 319, Série I, 801--806, 1994.

    Key words:

    AMS Subject Classification:

    V

  • E. P. Van den Ban.

    Asymptotic behaviour of Eiseinstein integrals, Bulletin (New Series) of the American Mathematical Society, Volume 9, Number 3, November 1983, 311--314.

    Key words: noncompact, semisimple Lie groups (or algebras), Lie groups, Harish-Chandra, Iwasawa decomposition, Lie algebra, root system.

    AMS Subject Classification:

  • V. S. Varadajaran.

    Harish-Chandra (1923-1983), The Mathematical intelligencer, vol. 6, no. 3, 1984, 9--13 & 19.

    Key words: representation of semisimple Lie groups (or algebras), Lie algebra, noncompact, SL(n, $R$), Plancherel formula, homogeneous spaces.

    AMS Subject Classification:

  • A. P. Veselov and O. A. Chalykh.

    Explicit formulas for spherical functions on symmetric spaces of type AII, Functional Analysis and its applications, Volume 26, Number 1, July 1992, 59--60.

    Key words: noncompact, semisimple Lie groups (or algebras), Harish-Chandra, Iwasawa decomposition, Lie algebra, SU*(2n)/Sp(n), Laplacian (Beltrami-Laplace operator), Abel transform, root system, Beerends.

    AMS Subject Classification:

  • L. Ju Vostrikova.

    Detecting disorder in multidimensional random processes, Soviet Math. Dokl. Vol. 24 (1987), No. 1.

    Key words:

    AMS Subject Classification:

  • Lars Vretare.

    Formulas for elementary spherical functions and generalized Jacobi polynomials, Siam J. Math. Anal., vol. 15, no. 4, 805--833, July 1984.

    Key words: symmetric space, SU*(2n)/Sp(n), Lie algebra, Laplacian (Beltrami-Laplace operator), Harish-Chandra.

    AMS Subject Classification:

    W

  • John B. Walsh.

    Excursions and local timeAstét&risque 52--53 (1978), 159--192.

    Key words:

    AMS Subject Classification: The local time of the Brownian sheet Astét&risque 52--53 (1978), 47--61.

    Key words:

    AMS Subject Classification:

  • Jiaping Wang.

    Global heat kernel estimates, Pacific Journal of Mathematics, Vol. 178, No. 2, 1997.

    Key words:

    AMS Subject Classification:

  • Paul S. Wesson and J. Ponce de Leon.

    Kaluza-Klein equations, Einstein's equations, and an effective energy-momentum tensor, J. Math. Phys. 33 (11), November 1992, 3883--3887.

    Key words:

    AMS Subject Classification:

  • H. Weyl.

    Theory der Darstellung kontinuerlischer Halb-einfacher Gruppen durch lineare Transformationen, Mathematische Zeitschrift, XXIII, 271--309.

    Key words:

    AMS Subject Classification:

  • E. F. Whittlesey.

    Fixed points and antipodal points, 807--821.

    Key words:

    AMS Subject Classification:

  • K. J. Worsley.

    The power of likelyhood ratio and cummulative tests for a change in a binomial probability, Biometrika (1983), 70, 455-464.

    Key words:

    AMS Subject Classification: Confidence regions and tests for a change-point in a sequence of exponential family random variables, Biometrika (1986), 73, 1, 91--101.

    Key words:

    AMS Subject Classification:

    Y

  • Zhimin Yan.

    A class of generalized hypergeometric functions in several variables, Canad. J. Math. Vol. 44 (6) 1992, 1317--1338.

    Key words: Jack polynomial (Jack symmetric function), Domain of positivity, symmetric cone, weight diagram, zonal polynomials.

    AMS Subject Classification:

    Generalized hypergeometric functions and Laguerre polynomials in two variables, Contemporary mathematics, Volume 138, 1992.

    Key words: Jack polynomial (Jack symmetric function).

    AMS Subject Classification:

    Y

  • Shimshon Zimering.

    Une remarque sur un théorème de Hardy-Littlewood et son application à l'équiconvergence des procécés de Césaro et de Riesz, preprint, 1--4.

    Key words:

    AMS Subject Classification: