scientific article; zbMATH DE number 2147255

DOI10.1155/S1073792804141901zbMath1062.33014arXivmath/0405368MaRDI QIDQ4658883

Michael Voit, Margit Rösler

Publication date: 21 March 2005

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0405368

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zbMATH Keywords

Dunkl kernelDunkl operatorsDunkl intertwining operator

Mathematics Subject Classification ID

Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Hypergeometric functions associated with root systems (33C67)

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Riesz transforms and fractional integration for orthogonal expansions on spheres, balls and simplices ⋮ Sonine Formulas and Intertwining Operators in Dunkl Theory ⋮ Integral kernels on complex symmetric spaces and for the Dyson Brownian Motion ⋮ Freezing limits for Calogero–Moser–Sutherland particle models ⋮ A Laplace-type representation for some generalized spherical functions of type $BC$ ⋮ Note on Bessel functions of typeA_N−1 ⋮ An Introduction to Dunkl Theory and Its Analytic Aspects ⋮ Positivity of the Jacobi–Cherednik intertwining operator and its dual ⋮ Integral representation and uniform limits for some Heckman-Opdam hypergeometric functions of type \textsl{BC} ⋮ Dunkl intertwining operator for symmetric groups ⋮ Wave functions for quantum integrable particle systems via partial confluences of multivariate hypergeometric functions

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