The asymptotics of spherical functions and the central limit theorem on symmetric cones

DOI10.5802/aif.1465zbMath0820.43008OpenAlexW1967735654MaRDI QIDQ1891891

Genkai Zhang

Publication date: 1 June 1995

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1995__45_2_565_0

zbMATH Keywords

spherical functionssymmetric spacessymmetric conescentral limit theoremsformally real Jordan algebras

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Harmonic analysis and spherical functions (43A90)

Cites Work

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• A central limit theorem on the space of positive definite symmetric matrices
• Asymptotics of special functions and the central limit theorem on the space \({\mathcal P}_ n\) of positive \(n\times n\) matrices
• Some combinatorial properties of Jack symmetric functions
• The Capelli identity, tube domains, and the generalized Laplace transform
• The Berezin transform and invariant differential operators
• Function spaces and reproducing kernels on bounded symmetric domains
• Toeplitz Operators on Bounded Symmetric Domains
• The Linearization of the Product of Two Zonal Polynomials
• Elementary spherical functions on symmetric spaces.
• Some Recurrence Formulas for Spherical Polynomials on Tube Domains
• Jordan triple systems, 𝑅-spaces, and bounded symmetric domains