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 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.