An LP version of Hardy's theorem for the Dunkl transform
type: Item
instance of: scholarly article
title: An LP version of Hardy's theorem for the Dunkl transform
zbMATH Open document ID: 1084.44001
DOI: 10.1017/S1446788700014518
author: Léonard Gallardo
author: Khalifa Trimèche
published in: Journal of the Australian Mathematical Society
publication date: 2005-03-18T00:00:00Z
Mathematics Subject Classification ID: 44A15
Mathematics Subject Classification ID: 44A20
Mathematics Subject Classification ID: 51F15
Mathematics Subject Classification ID: 43A15
Mathematics Subject Classification ID: 43A32
zbMATH DE Number: 2147005
zbMATH Keywords: Dunkl transform
zbMATH Keywords: special Lebesgue spaces
zbMATH Keywords: reflections groups
zbMATH Keywords: differential-difference operators
MaRDI profile type: Publication
cites work: The Dunkl transform
cites work: Integral Kernels with Reflection Group Invariance
cites work: The dunkel intertwining operator on spaces of functions and distributions and integral representation of its dual
cites work: Uncertainty principles on certain Lie groups
cites work: Positivity of Dunkl's intertwining operator
cites work: Generalized Hermite polynomials and the heat equation for Dunkl operators
cites work: Exact operator solution of the Calogero-Sutherland model
cites work: An elementary approach to the hypergeometric shift operators of Opdam
cites work: Dunkl Operator Formalism for Quantum Many-Body Problems Associated with Classical Root Systems
cites work: A Theorem Concerning Fourier Transforms
cites work: An analogue of Hardy's theorem for the Dunkl transform
full work available at URL: s1446788700014518
OpenAlex ID: W2121494985
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description: scientific article; zbMATH DE number 2147005