Real Paley–Wiener theorems for the Dunkl transform on ℝ

DOI10.1080/10652460500441551zbMath1094.33012OpenAlexW1999796759MaRDI QIDQ5484628

Nils Byrial Andersen

Publication date: 21 August 2006

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

Full work available at URL: https://doi.org/10.1080/10652460500441551

zbMATH Keywords

Dunkl transformPaley--Wiener theorems

Mathematics Subject Classification ID

Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Other transforms and operators of Fourier type (43A32)

Related Items (7)

Real Paley–Wiener theorem for the quaternion Fourier transform ⋮ Real Paley–Wiener theorems for the special relativistic space-time Fourier transform ⋮ Weyl transforms associated with Dunkl wavelet transform ⋮ Paley-Wiener-type theorems associated to the Laplace-Bessel operator ⋮ Real Paley–Wiener theorems and local spectral radius formulas ⋮ Paley-Wiener theorem for a generalized Fourier transform associated to a Dunkl-type operator ⋮ Spectrums of functions associated to the fractional Clifford-Fourier transform

Cites Work

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• The Dunkl transform
• A Property of Infinitely Differentiable Functions
• Integral Kernels with Reflection Group Invariance
• New Type Paley-Wiener Theorems for the Dunkl Transform on R
• Paley-Wiener Theorems for the Dunkl Transform and Dunkl Translation Operators

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