The Wigner and Weyl transforms attached to the Heckman-Opdam-Jacobi theory on \(\mathbb{R}^{d+1}\)
type: Item
instance of: scholarly article
title: The Wigner and Weyl transforms attached to the Heckman-Opdam-Jacobi theory on \(\mathbb{R}^{d+1}\)
zbMATH Open document ID: 1475.43005
author: Chirine Chettaoui
author: Amina Hassini
author: Khalifa Trimèche
published in: Journal of Pseudo-Differential Operators and Applications
publication date: 2021-06-17T00:00:00Z
Mathematics Subject Classification ID: 43A32
Mathematics Subject Classification ID: 44A15
Mathematics Subject Classification ID: 33C67
Mathematics Subject Classification ID: 33E30
zbMATH DE Number: 7360376
zbMATH Keywords: Cherednik Heckman-Opdam operators
zbMATH Keywords: Heckman-Opdam-Jacobi theory
zbMATH Keywords: Wigner transform
zbMATH Keywords: Weyl transform
MaRDI profile type: Publication
full work available at URL: s11868-021-00404-z
OpenAlex ID: W3142006149
cites work: Generalized wavelet transform associated with the Heckman-Opdam-Jacobi theory on \(\mathbb{R}^{d+1}\)
cites work: The harmonic analysis associated to the Heckman-Opdam's theory and its application to a root system of type $BC_d$
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cites work: Q5803039
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cites work: The hypergeometric Wigner and Weyl transforms attached to the Cherednik operators in the W-invariant case
cites work: GENERALIZED WAVELETS AND THE GENERALIZED WAVELET TRANSFORM ON ℝdFOR THE HECKMAN-OPDAM THEORY
cites work: Q3803292
cites work: Q4321770
cites work: Harmonic analysis for certain representations of graded Hecke algebras
cites work: Contributions to the hypergeometric function theory of Heckman and Opdam: Sharp estimates, Schwartz space, heat kernel
cites work: Positive convolution structure for a class of Heckman-Opdam hypergeometric functions of type BC
cites work: Q5744632
cites work: THE POSITIVITY OF THE HYPERGEOMETRIC TRANSLATION OPERATORS ASSOCIATED TO THE CHEREDNIK OPERATORS AND THE HECKMAN-OPDAM THEORY ATTACHED TO THE ROOT SYSTEM OF TYPE $BC_2$
cites work: Q3342799
DOI: 10.1007/S11868-021-00404-Z
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description: scientific article; zbMATH DE number 7360376