Some results on Dunkl analysis : A survey

DOI10.1016/j.joems.2011.09.001zbMath1248.42014OpenAlexW1963544402MaRDI QIDQ450175

S. Hassani, Jean-Philippe Anker, Bechir Amri, Mohamed Sifi, Sami Mustapha

Publication date: 13 September 2012

Published in: Journal of the Egyptian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.joems.2011.09.001

zbMATH Keywords

Paley-Wiener theoremRiesz transformsRiesz potentialsDunkl operatorgeneralized translations

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Riesz transform and Riesz potentials for Dunkl transform
• \(\mathbb{L}_ p\) Fourier multipliers on Riemannian symmetric spaces of the noncompact type
• Sharp estimates for some functions of the Laplacian on noncompact symmetric spaces
• Generalized Hermite polynomials and the heat equation for Dunkl operators
• Lecture notes on Dunkl operators for real and complex reflection groups
• Harmonic analysis for certain representations of graded Hecke algebras
• Convolution operator and maximal function for the Dunkl transform
• Differential-Difference Operators Associated to Reflection Groups
• Paley-Wiener Theorems for the Dunkl Transform and Dunkl Translation Operators
• A positive radial product formula for the Dunkl kernel
• Some remarks on a proof of geometrical Paley–Wiener theorems for the Dunkl transform
• Three results in Dunkl analysis
• Paley–Wiener theorems for the Dunkl transform

This page was built for publication: Some results on Dunkl analysis : A survey