Représentation intégrale de certaines séries de fonctions sphériques d'un système de racines \(BC\). (Integral representation of certain series of spherical functions of a root system \(BC\))

DOI10.1016/0022-1236(91)90063-BzbMath0735.33009OpenAlexW2055182190MaRDI QIDQ1814176

Amédée Debiard, Bernard Gaveau

Publication date: 25 June 1992

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(91)90063-b

zbMATH Keywords

integral representationgeneralized Jacobi polynomialsLauricella function

Mathematics Subject Classification ID

Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Analysis on real and complex Lie groups (22E30) Appell, Horn and Lauricella functions (33C65)

Related Items

Boundary value problems for various boundaries of Hermitian symmetric spaces, Spherical functions of the principal series representations of \(Sp(2,\mathbb{R})\) as hypergeometric functions of \(C_2\)-type, MATRIX COEFFICIENTS OF REPRESENTATIONS OF SU(2,2): THE CASE OF P_J-PRINCIPAL SERIES, Unnamed Item

Cites Work

• Les équations de Hua d'un domaine borné symétrique du type tube. (The equations of Hua for a bounded symmetric domain of tube type)
• Hypergeometric ladders and spherical polynomials for root systems \(BC\) of rank 2
• Analysis on Root Systems
• Generalized Power Series Expansions for a Class of Orthogonal Polynomials in Two Variables
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