Biorthogonal expansion of non-symmetric Jack functions

DOI10.3842/SIGMA.2007.106zbMath1150.33004arXiv0711.2401OpenAlexW2105659105MaRDI QIDQ2473512

Genkai Zhang, Siddhartha Sahi

Publication date: 27 February 2008

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0711.2401

zbMATH Keywords

Laplace transformbiorthogonal expansionCherednik-Opdam transformnon-symmetric Jack polynomials and functions

Mathematics Subject Classification ID

Harmonic analysis and spherical functions (43A90) Hypergeometric functions associated with root systems (33C67) Orthogonal polynomials and functions associated with root systems (33C52)

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The Dunkl-Laplace transform and Macdonald’s hypergeometric series ⋮ Hankel transform, \(\mathcal{K}\)-Bessel functions and zeta distributions in the Dunkl setting ⋮ Hermitian symmetric spaces of tube type and multivariate Meixner-Pollaczek polynomials ⋮ Riesz distributions and Laplace transform in the Dunkl setting of type A

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