The generalized Segal--Bargmann transform and special functions

DOI10.1023/B:ACAP.0000024193.17395.d7zbMath1082.22010arXivmath/0307343MaRDI QIDQ1876542

Mark G. Davidson, Gestur Olafsson

Publication date: 20 August 2004

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

Full work available at URL: https://arxiv.org/abs/math/0307343

zbMATH Keywords

Laplace transformorthogonal polynomialshighest weight representationsbounded symmetric domainsholomorphic discrete seriesLaguerre functions and polynomialsMeixner--Pollachek polynomials

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Semisimple Lie groups and their representations (22E46) Laplace transform (44A10) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15)

Related Items (4)

Laguerre functions on symmetric cones and recursion relations in the real case ⋮ The Poisson transform on a compact real analytic Riemannian manifold ⋮ Generating functions associated to highest weight representations ⋮ Differential recursion relations for Laguerre functions on symmetric cones.

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