On the Dunkl convolution equations in spaces of type

Hatem Mejjaoli; Ahmedou Ould Ahmed Salem

doi:10.1080/10652469.2015.1031128

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On the Dunkl convolution equations in spaces of type

Journal article

Peer reviewed

On the Dunkl convolution equations in spaces of type

Hatem Mejjaoli, Ahmedou Ould Ahmed Salem and Ahmedou Ould Ahmed Salem

Integral transforms and special functions, Vol.26(8), pp.619-634

03/08/2015

DOI: https://doi.org/10.1080/10652469.2015.1031128

Abstract

Dunkl convolution operator

Dunkl convolutor

Dunkl operator

Primary: 46F20

Secondary: 47B20

spaces

In this paper, we introduce new function spaces that are denoted by , , and that are spaces of type where the Dunkl convolution and the Dunkl transformation are defined. Some properties of these spaces are studied. We study the convolutors and the surjective Dunkl convolution operator acting on . In the case , we obtain complete characterizations.

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Details

Title: On the Dunkl convolution equations in spaces of type
Creators - without role: Hatem Mejjaoli - Taibah University
Ahmedou Ould Ahmed Salem - King Khalid University
Ahmedou Ould Ahmed Salem - King Khalid University
Publication Details: Integral transforms and special functions, Vol.26(8), pp.619-634
Publisher: Taylor & Francis
Identifiers: 9922360308331
Academic Unit: King Khalid University; Taibah University
Language: English
Resource Type: Journal article