The Chébli–Trimèche hypergroups associated with the Dunkl and Heckman–Opdam theories

DOI10.1080/10652460903504138zbMath1250.43006OpenAlexW1988785721MaRDI QIDQ3584675

Khalifa Trimèche

Publication date: 30 August 2010

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652460903504138

zbMATH Keywords

Dunkl theoryHeckman-Opdam theoryChébli-Trimèche hypergroups

Mathematics Subject Classification ID

Harmonic analysis on hypergroups (43A62) Other functions coming from differential, difference and integral equations (33E30) Other transforms and operators of Fourier type (43A32) Hypergeometric functions associated with root systems (33C67)

Related Items (1)

Generalized windowed transforms on Chébli-Trimèche hypergroups

Cites Work

• Unnamed Item
• One-dimensional hypergroups
• Spaces with an abstract convolution of measures
• Markov processes related with Dunkl operators
• A unification of Knizhnik-Zamolodchikov and Dunkl operators via affine Hecke algebras
• Contributions to the hypergeometric function theory of Heckman and Opdam: Sharp estimates, Schwartz space, heat kernel
• On a mean value property associated with the dunkl laplacian operator and applications
• Lie Theorems for One Dimensional Hypergroups

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