A few remarks on integral representation for zonal spherical functions on the symmetric space

DOI10.1088/0305-4470/30/15/003zbMATH Open0933.33015arXivphysics/9708036OpenAlexW3125808539MaRDI QIDQ4248310

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Publication date: 9 April 2000

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Abstract: The integral representation on the orthogonal groups for zonal spherical functions on the symmetric space $SU(N)/SO(N,R)$ is used to obtain a generating function for such functions. For the case N=3 the three-dimensional integral representation reduces to a one-dimensional one.

Full work available at URL: https://arxiv.org/abs/physics/9708036

zbMATH Keywords

generating functionzonal spherical functions

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)

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