Representation of Generalized Translations of the Product of Two Functions on Signed Hypergroups on the Real Line

Néjib Ben Salem; Nabila Hamda

doi:10.3969/j.issn.1672-4070.2012.03.001

Representation of Generalized Translations of the Product of Two Functions on Signed Hypergroups on the Real Line

Authors

Néjib Ben Salem
Nabila Hamda

DOI:

https://doi.org/10.3969/j.issn.1672-4070.2012.03.001

Keywords:

Bessel function, Dunkl operator, generalized translation, signed hypergroup, Jacobi-Dunkl operator, Jacobi function.

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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Published

2012-10-08

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Issue

Vol. 28 No. 3 (2012)

Section

Articles

How to Cite

Representation of Generalized Translations of the Product of Two Functions on Signed Hypergroups on the Real Line. (2012). Analysis in Theory and Applications, 28(3), 201-223. https://doi.org/10.3969/j.issn.1672-4070.2012.03.001