Analytic mean-periodic functions associated with the Dunkl operator in a disk

Abstract

In this article, we consider the Dunkl operator

of index k, k≥ 0, on

. We introduce analytic mean-periodic functions associated with

in a disk and we study the expansion of a mean-periodic function in series with respect to appropriate exponential monomials.

Keywords:

• Dunkl operator
• Analytic mean-periodic function
• Dunkl–Fourier expansion
• Mathematics Subject Classifications (2000): 42A75
• 42A63

Notes

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Additional information

Notes on contributors

S. Kallel †

E-mail: [email protected]