An analogue of Hardy's theorem for the Dunkl transform

DOI10.1016/S1631-073X(02)02361-0zbMath0999.43003OpenAlexW2032740503MaRDI QIDQ1608692

Léonard Gallardo, Khalifa Trimèche

Publication date: 2 December 2002

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1631-073x(02)02361-0

zbMATH Keywords

Hardy's theoremDunkl transform

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30)

Related Items (5)

AN ANALOGUE OF COWLING–PRICE'S THEOREM AND HARDY'S THEOREM FOR THE GENERALIZED FOURIER TRANSFORM ASSOCIATED WITH THE SPHERICAL MEAN OPERATOR ⋮ On Hardy's inequality for symmetric integral transforms and analogous ⋮ Uncertainty principle and \(L^{p}\)--\(L^{q}\)-sufficient pairs on noncompact real symmetric spaces ⋮ An \(L^{p}\)-\(L^{q}\)-version of Morgan's theorem for the \(n\)-dimensional Euclidean motion group ⋮ An L^P version of Hardy's theorem for the Dunkl transform

Cites Work

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• Generalized Hermite polynomials and the heat equation for Dunkl operators
• The Dunkl transform
• Uncertainty principles on certain Lie groups
• Exact operator solution of the Calogero-Sutherland model
• An elementary approach to the hypergeometric shift operators of Opdam
• Dunkl Operator Formalism for Quantum Many-Body Problems Associated with Classical Root Systems
• A Theorem Concerning Fourier Transforms

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