Reproducing inversion formulas for the Dunkl-Wigner transforms

Fethi Soltani fethisoltani10@yahoo.com

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DOI:

https://doi.org/10.4067/S0719-06462015000200001

Abstract

We define and study the Fourier-Wigner transform associated with the Dunkl operators, and we prove for this transform a reproducing inversion formulas and a Plancherel formula. Next, we introduce and study the extremal functions associated to the Dunkl- Wigner transform.

Keywords

Dunkl transform , Dunkl-Wigner transform , inversion formulas , extremal functions

Fethi Soltani Department of Mathematics, Faculty of Science, Jazan University, P.O.Box 277, Jazan 45142, Saudi Arabia

Pages: 1-14
Date Published: 2015-06-01
Vol. 17 No. 2 (2015): CUBO, A Mathematical Journal

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Published

2015-06-01

How to Cite

[1]

F. Soltani, “Reproducing inversion formulas for the Dunkl-Wigner transforms”, CUBO, vol. 17, no. 2, pp. 1–14, Jun. 2015.

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Vol. 17 No. 2 (2015): CUBO, A Mathematical Journal

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