Spherical functions of the principal series representations of \(Sp(2,\mathbb{R})\) as hypergeometric functions of \(C_2\)-type

DOI10.2977/prims/1195162717zbMath0910.43014OpenAlexW2017459322MaRDI QIDQ679149

Masatoshi Iida

Publication date: 20 April 1999

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195162717

Mathematics Subject Classification ID

Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Semisimple Lie groups and their representations (22E46) Spherical harmonics (33C55) Harmonic analysis and spherical functions (43A90)

Related Items (3)

Boundary value problems for various boundaries of Hermitian symmetric spaces ⋮ MATRIX COEFFICIENTS OF REPRESENTATIONS OF SU(2,2): THE CASE OF P_J-PRINCIPAL SERIES ⋮ Unnamed Item

Cites Work

• The Plancherel formula for spherical functions with a one-dimensional \(K\)-type on a simply connected simple Lie group of Hermitian type
• Integral formulas for the spherical polynomials of a root system of type \(BC_ 2\)
• Completely integrable systems with a symmetry in coordinates
• 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 \(BC\))
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