Some Recurrence Formulas for Spherical Polynomials on Tube Domains

DOI10.2307/2154967zbMath0839.22019OpenAlexW4254521807MaRDI QIDQ4846089

Genkai Zhang

Publication date: 10 June 1996

Full work available at URL: https://doi.org/10.2307/2154967

zbMATH Keywords

tensor productsspherical representationssymmetric polynomialsspherical polynomialstube domainrecurrence formula

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46)

Related Items (8)

The asymptotics of spherical functions and the central limit theorem on symmetric cones ⋮ Generalized principal series representations and tube domains ⋮ Homogeneous multiplication operators on bounded symmetric domains. ⋮ Hermitian symmetric spaces of tube type and multivariate Meixner-Pollaczek polynomials ⋮ Generalized principal series representations of $SL(1+n,\mathbb {C})$ ⋮ Principal series of Hermitian Lie groups induced from Heisenberg parabolic subgroups ⋮ Differential equations and recursion relations for Laguerre functions on symmetric cones ⋮ Analytic models for commuting operator tuples on bounded symmetric domains

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