Representation of Generalized Translations of the Product of Two Functions on Signed Hypergroups on the Real Line
Year: 2012
Author: Néjib Ben Salem, Nabila Hamda
Analysis in Theory and Applications, Vol. 28 (2012), Iss. 3 : pp. 201–223
Abstract
In this paper, we consider the generalized translations associated with the Dunkl and the Jacobi-Dunkl differential-difference operators on the real line which provide the structure of signed hypergroups on $\mathbf{R}$. Especially, we study the representation of the generalized translations of the product of two functions for these signed hypergroups.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.3969/j.issn.1672-4070.2012.03.001
Analysis in Theory and Applications, Vol. 28 (2012), Iss. 3 : pp. 201–223
Published online: 2012-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 23
Keywords: Bessel function Dunkl operator generalized translation signed hypergroup Jacobi-Dunkl operator Jacobi function.