A variant of Cowling-Price's theorem for the Dunkl transform on \(\mathbb R\)

DOI10.1016/j.jmaa.2006.02.029zbMath1147.43001OpenAlexW2013441485MaRDI QIDQ932326

Khalifa Trimèche, Hatem Mejjaoli

Publication date: 10 July 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.02.029

zbMATH Keywords

Dunkl transform on \(\mathbb R\)variant Cowling-Price's theorem

Mathematics Subject Classification ID

(L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)

Related Items (6)

Uncertainty principles for the weinstein transform ⋮ On Hardy's inequality for symmetric integral transforms and analogous ⋮ Mean convergence of Fourier-Dunkl series ⋮ Miyachi's theorem for the Dunkl transform ⋮ On the Dunkl convolution equations in spaces of type ⋮ A variant of Hardy's and Miyachi's theorems for the Bessel–Struve transform

Cites Work

• The Dunkl transform
• An analogue of Hardy's theorem for very rapidly decreasing functions on semi-simple Lie groups
• Taylor series associated with a differential-difference operator on the real line
• Differential-Difference Operators Associated to Reflection Groups
• Integral Kernels with Reflection Group Invariance
• An L^P version of Hardy's theorem for the Dunkl transform
• Hypoellipticity and hypoanalyticity of the Dunkl Laplacian operator
• A Generalization of the Theorem of Hardy: A Most General Version of the Uncertainty Principle for Fourier Integrals
• A Theorem Concerning Fourier Transforms
• Paley-Wiener Theorems for the Dunkl Transform and Dunkl Translation Operators
• A Note on the Quantum Rule of the Harmonic Oscillator
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