On the Dunkl convolution equations in spaces of type

DOI10.1080/10652469.2015.1031128zbMath1330.46041OpenAlexW2045350551MaRDI QIDQ5262277

Ahmedou Ould Ahmed Salem, Hatem Mejjaoli

Publication date: 13 July 2015

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2015.1031128

zbMATH Keywords

function spacesDunkl operatorDunkl convolution operator

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Integral transforms in distribution spaces (46F12) Subnormal operators, hyponormal operators, etc. (47B20) Distributions and ultradistributions as boundary values of analytic functions (46F20)

Related Items (2)

Boole-Dunkl polynomials and generalizations ⋮ Discrete Appell-Dunkl sequences and Bernoulli-Dunkl polynomials of the second kind

Cites Work

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• Riesz transforms for the dunkl harmonic oscillator
• Functional analysis, Sobolev spaces and partial differential equations
• The Dunkl transform
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• Solvability of convolution equations in \({\mathcal D}_{L^p}^\prime\)
• On the division of distributions by polynomials
• Convolution operator and maximal function for the Dunkl transform
• Relating transplantation and multipliers for Dunkl and Hankel transforms
• Integral Kernels with Reflection Group Invariance
• An uncertainty principle for Hankel transforms
• New Type Paley-Wiener Theorems for the Dunkl Transform on R
• Spaces of ${\mathcal D}_{L^p}-$type and the Hankel convolution
• Paley-Wiener Theorems for the Dunkl Transform and Dunkl Translation Operators
• A Whittaker-Shannon-Kotel’nikov sampling theorem related to the Dunkl transform

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