On the Dunkl convolution equations in spaces of type

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...

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Bibliographic Details
Published in:Integral transforms and special functions 2015-08, Vol.26 (8), p.619-634
Main Authors: Mejjaoli, Hatem, Ould Ahmed Salem, Ahmedou
Format: Article
Language:English
Subjects:
Convolution
Dunkl convolution operator
Dunkl convolutor
Dunkl operator
Function space
Integrals
Mathematical analysis
Operators
Primary: 46F20
Secondary: 47B20
spaces
Transformations (mathematics)
Transforms
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Summary: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.
ISSN:1065-2469
1476-8291
DOI:10.1080/10652469.2015.1031128