The hypergeometric Wigner and Weyl transforms attached to the Cherednik operators in the W-invariant case

DOI10.1080/10652469.2017.1343315zbMath1390.33029OpenAlexW2731996859MaRDI QIDQ4978632

Amina Hassini, Khalifa Trimèche, Chirine Chettaoui

Publication date: 25 August 2017

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

Full work available at URL: https://doi.org/10.1080/10652469.2017.1343315

zbMATH Keywords

hypergeometric Fourier transformhypergeometric Wigner transformroot system \(BC_d\)Cherednick operatorshypergeometric Weyl transform

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) 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 (2)

Localization operators associated with the hypergeometric Wigner transform related to the Cherednik operators in the case of the root system \(BC_d\) ⋮ The Wigner and Weyl transforms attached to the Heckman-Opdam-Jacobi theory on \(\mathbb{R}^{d+1}\)

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