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Invariant differential operators on the Heisenberg group and Meixner–Pollaczek polynomials

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Publication:4921697
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DOI10.1515/APAM-2013-0204zbMath1276.32017OpenAlexW2022550263MaRDI QIDQ4921697

Jacques Faraut, Masato Wakayama

Publication date: 13 May 2013

Published in: Advances in Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/apam-2013-0204


zbMATH Keywords

Heisenberg groupLaguerre polynomialGelfand pairspherical functionMeixner-Pollaczek polynomial


Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Harmonic analysis and spherical functions (43A90)


Related Items (3)

Zonal polynomials and a multidimensional quantum Bessel process ⋮ Nilpotent Gelfand pairs and Schwartz extensions of spherical transforms via quotient pairs ⋮ Continuous spherical Gabor transform for Gelfand pair







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