On the Faraut-Koranyi hypergeometric functions in rank two.

DOI10.5802/aif.2069zbMath1079.33010OpenAlexW315810112MaRDI QIDQ1774084

Genkai Zhang, Miroslav Engliš

Publication date: 29 April 2005

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

Full work available at URL: http://www.numdam.org/item?id=AIF_2004__54_6_1855_0

zbMATH Keywords

hypergeometric functionsintegral representationJack polynomialsCartan domain

Mathematics Subject Classification ID

Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Hypergeometric functions associated with root systems (33C67)

Related Items (6)

Schatten class Bergman-type and Szegö-type operators on bounded symmetric domains ⋮ Localized frames and compactness ⋮ Sharp pointwise and uniform estimates for \(\bar{\partial} \) ⋮ Berezin transform on the harmonic Fock space ⋮ Degenerate principal series representations and their holomorphic extensions ⋮ The non-tangential boundary behavior of the matrix-valued rational inner functions on bounded symmetric domain

Cites Work

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• Compact Toeplitz operators via the Berezin transform on bounded symmetric domains
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• A Class of Generalized Hypergeometric Functions in Several Variables
• Spherical functions on symmetric cones
• HOLOMORPHIC BESOV SPACES ON BOUNDED SYMMETRIC DOMAINS

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