Laguerre polynomials, restriction principle, and holomorphic representations of SL\((2\mathbb R)\)

DOI10.1023/A:1015283100541zbMath0993.22012OpenAlexW173755028MaRDI QIDQ1610253

Genkai Zhang, Mark G. Davidson, Gestur Olafsson

Publication date: 19 August 2002

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1015283100541

zbMATH Keywords

Lie groupsrepresentation theoryLaguerre polynomialsspecial functionsSegal-Bargmann transformrestriction principle\(SL(2,R)\)

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Semisimple Lie groups and their representations (22E46)

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