The positivity of the hypergeometric translation operators associated to the Cherednik operators and the Heckman-Opdam theory on \(\mathbb{R}^d\)
type: Item
instance of: scholarly article
title: The positivity of the hypergeometric translation operators associated to the Cherednik operators and the Heckman-Opdam theory on \(\mathbb{R}^d\)
zbMATH Open document ID: 1360.33017
author: Khalifa Trimèche
published in: Advances in Pure and Applied Mathematics
publication date: 2017-04-06T00:00:00Z
Mathematics Subject Classification ID: 33E30
Mathematics Subject Classification ID: 33C67
Mathematics Subject Classification ID: 51F15
zbMATH DE Number: 6701810
zbMATH Keywords: hypergeometric translation operators
zbMATH Keywords: Opdam-Cherednik kernel
zbMATH Keywords: Heckman-Opdam hypergeometric function
zbMATH Keywords: product formulas
MaRDI profile type: Publication
full work available at URL: apam-2016-0122
OpenAlex ID: W2577773662
cites work: A unification of Knizhnik-Zamolodchikov and Dunkl operators via affine Hecke algebras
cites work: Q3803292
cites work: Harmonic analysis for certain representations of graded Hecke algebras
cites work: Q4405392
cites work: Contributions to the hypergeometric function theory of Heckman and Opdam: Sharp estimates, Schwartz space, heat kernel
cites work: The trigonometric Dunkl intertwining operator and its dual associated with the Cherednik operators and the Heckman–Opdam theory
cites work: Harmonic analysis associated with the Cherednik operators and the Heckman–Opdam theory
cites work: POSITIVITY OF THE TRANSMUTATION OPERATORS AND ABSOLUTE CONTINUITY OF THEIR REPRESENTING MEASURES FOR A ROOT SYSTEM ON $\mathbb{R}^d$
DOI: 10.1515/APAM-2016-0122
description: scientific article; zbMATH DE number 6701810