On the norm of theLp-Dunkl transform

DOI10.1080/00036811.2014.900661zbMath1317.43002OpenAlexW1725318406WikidataQ58242663 ScholiaQ58242663MaRDI QIDQ4982041

Fethi Bouzeffour

Publication date: 23 March 2015

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2014.900661

zbMATH Keywords

Fourier transformDunkl operatorRényi entropyBabenko inequality

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Other transforms and operators of Fourier type (43A32) Reflection groups, reflection geometries (51F15)

Related Items (5)

\(L^p-L^q\) estimates for the solution of the Dunkl wave equation ⋮ Reproducing kernel theory associated with the generalized Stockwell transform and applications ⋮ Restriction theorem for the Fourier-Dunkl transform and its applications to Strichartz inequalities ⋮ Boundedness and compactness of Dunkl two-wavelet multipliers ⋮ Dunkl-Stockwell transform and its applications to the time-frequency analysis

Cites Work

• Inequalities in Fourier analysis
• Generalized Hermite polynomials and the heat equation for Dunkl operators
• Markov processes related with Dunkl operators
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