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Volume 28, Issue 3
Representation of Generalized Translations of the Product of Two Functions on Signed Hypergroups on the Real Line

Néjib Ben Salem & Nabila Hamda

Anal. Theory Appl., 28 (2012), pp. 201-223.

Published online: 2012-10

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  • 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.

  • AMS Subject Headings

33C45, 33C10, 43A62, 42A38

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COPYRIGHT: © Global Science Press

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@Article{ATA-28-201, author = {Néjib Ben Salem , and Nabila Hamda , }, title = {Representation of Generalized Translations of the Product of Two Functions on Signed Hypergroups on the Real Line}, journal = {Analysis in Theory and Applications}, year = {2012}, volume = {28}, number = {3}, pages = {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.

}, issn = {1573-8175}, doi = {https://doi.org/10.3969/j.issn.1672-4070.2012.03.001}, url = {http://global-sci.org/intro/article_detail/ata/4556.html} }
TY - JOUR T1 - Representation of Generalized Translations of the Product of Two Functions on Signed Hypergroups on the Real Line AU - Néjib Ben Salem , AU - Nabila Hamda , JO - Analysis in Theory and Applications VL - 3 SP - 201 EP - 223 PY - 2012 DA - 2012/10 SN - 28 DO - http://doi.org/10.3969/j.issn.1672-4070.2012.03.001 UR - https://global-sci.org/intro/article_detail/ata/4556.html KW - Bessel function, Dunkl operator, generalized translation, signed hypergroup, Jacobi-Dunkl operator, Jacobi function. AB -

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.

Néjib Ben Salem & Nabila Hamda. (1970). Representation of Generalized Translations of the Product of Two Functions on Signed Hypergroups on the Real Line. Analysis in Theory and Applications. 28 (3). 201-223. doi:10.3969/j.issn.1672-4070.2012.03.001
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