New spectral theorems in Dunkl analysis

DOI10.1007/S11785-016-0627-3zbMath1404.44001OpenAlexW2565810240MaRDI QIDQ521942

Hatem Mejjaoli

Publication date: 12 April 2017

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-016-0627-3

zbMATH Keywords

Dunkl transformreal Paley-Wiener theoremDunkl potentials

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) General integral transforms (44A05)

Cites Work

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• Uncertainty principles for the Dunkl transform
• Generalized Hermite polynomials and the heat equation for Dunkl operators
• The Dunkl transform
• Paley-Wiener-type theorems for a class of integral transforms
• Generalized Besov spaces and their applications
• Convolution operator and maximal function for the Dunkl transform
• A Property of Infinitely Differentiable Functions
• Real Paley–Wiener theorems and local spectral radius formulas
• Differential-Difference Operators Associated to Reflection Groups
• Paley-Wiener Theorems for the Dunkl Transform and Dunkl Translation Operators
• AN ANALOGUE OF COWLING–PRICE'S THEOREM AND HARDY'S THEOREM FOR THE GENERALIZED FOURIER TRANSFORM ASSOCIATED WITH THE SPHERICAL MEAN OPERATOR
• Some Function Spaces Related to L _p Spaces

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