A Fractional Power for Dunkl Transforms in $ L^{2}(\R^{N}, \omega_{k}(x)dx)$

zbMath1317.42011arXiv1310.8502MaRDI QIDQ5254818

Sami Ghazouani, Fethi Bouzaffour

Publication date: 10 June 2015

Full work available at URL: https://arxiv.org/abs/1310.8502

zbMATH Keywords

generalized Hermite polynomialsfractional Fourier transformsemigroups of operatorsDunkl transform

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Related Items (5)

Heisenberg uncertainty principle for a fractional power of the Dunkl transform on the real line ⋮ Hardy type theorems for linear canonical Dunkl transform ⋮ A unified class of integral transforms related to the Dunkl transform ⋮ Fractional Jacobi-Dunkl transform: properties and application ⋮ Coherent states of the one-dimensional Dunkl oscillator for real and complex variables and the Segal–Bargmann transformation of Dunkl-type

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