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Pompeiu-type theorem associated with the Dunkl operator on the real line
Journal article   Peer reviewed

Pompeiu-type theorem associated with the Dunkl operator on the real line

A. El Garna and B. Selmi
Integral transforms and special functions, Vol.16(4), pp.301-314
01/06/2005

Abstract

Bessel function Convolution Dunkl operator Dunkl transform Pompeiu problem Tauberian theorem
In this work, by using the Wiener-Tauberian Theorem, we establish a Pompeiu-type theorem (which consists to study the uniqueness of some convolution equations solutions) associated with a differential-difference operator α , called the Dunkl operator on the real line. Next, we give some applications.

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