Product formulas for a two-parameter family of Heckman-Opdam hypergeometric functions of type BC

zbMath1320.33022arXiv1310.3075MaRDI QIDQ5251713

Michael Voit

Publication date: 20 May 2015

Full work available at URL: https://arxiv.org/abs/1310.3075

zbMATH Keywords

spherical functionsHaar measureGrassmann manifoldshypergroupsproduct formulasHeckman-Opdam theoryhypergeometric functions associated with root systemssigned hypergroups

Mathematics Subject Classification ID

Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Harmonic analysis on hypergroups (43A62) Harmonic analysis and spherical functions (43A90) Hypergeometric functions associated with root systems (33C67)

Related Items (4)

Dispersion and limit theorems for random walks associated with hypergeometric functions of type \(BC\) ⋮ A multivariate version of the disk convolution ⋮ An Introduction to Dunkl Theory and Its Analytic Aspects ⋮ Integral representation and uniform limits for some Heckman-Opdam hypergeometric functions of type \textsl{BC}

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