Revisiting Beurling's theorem for Fourier–Dunkl transform

DOI10.1080/10652469.2015.1036056zbMath1322.42016OpenAlexW2091041042MaRDI QIDQ5262283

Sanjoy Pusti, Sanjay Parui

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/10.1080/10652469.2015.1036056

zbMATH Keywords

uncertainty principleBeurling's theoremDunkl transform

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) 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 (1)

Beurling's theorem for the Clifford‐Fourier transform

Cites Work

• Uncertainty principles for the Cherednik transform
• Beurling's theorem for \(\mathrm{SL} (2, {\mathbb{R}})\)
• Beurling's theorem and \(L^p-L^q\) Morgan's theorem for step two nilpotent Lie groups
• A uniqueness theorem of Beurling for Fourier transform pairs
• Generalized Hermite polynomials and the heat equation for Dunkl operators
• The uncertainty principle: A mathematical survey
• Hermite functions and uncertainty principles for the Fourier and the windowed Fourier trans\-forms.
• Asymptotic analysis for the Dunkl kernel
• Convolution operator and maximal function for the Dunkl transform
• An analog of Morgan's theorem for the Kontorovich–Lebedev transform
• Beurling's theorems and inversion formulas for certain index transforms
• Integral Kernels with Reflection Group Invariance
• An L^P version of Hardy's theorem for the Dunkl transform
• Beurling's theorem for Riemannian symmetric spaces II

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