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

Nejib 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 Dunkland the Jacobi-Dunkl differential-difference operators on the real line which provide thestructure of signed hrpergroups on R. Especially, we study the representation of the generalizedtranslations of the product of two functions for these signed hypergroups.

  • Keywords

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

  • AMS Subject Headings

33C45 33C10 43A62 42A38

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COPYRIGHT: © Global Science Press

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@Article{ATA-28-201, author = {Nejib 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 Dunkland the Jacobi-Dunkl differential-difference operators on the real line which provide thestructure of signed hrpergroups on R. Especially, we study the representation of the generalizedtranslations 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 - Nejib Ben Salem & Nabila Hamda JO - Analysis in Theory and Applications VL - 3 SP - 201 EP - 223 PY - 2012 DA - 2012/10 SN - 28 DO - http://dor.org/10.3969/j.issn.1672-4070.2012.03.001 UR - https://global-sci.org/intro/article_detail/ata/4556.html KW - Bessel function KW - Dunkl operator KW - generalized translation KW - signed hypergroup KW - Jacobi-Dunkl operator KW - Jacobi function AB - In this paper, we consider the generalized translations associated with the Dunkland the Jacobi-Dunkl differential-difference operators on the real line which provide thestructure of signed hrpergroups on R. Especially, we study the representation of the generalizedtranslations of the product of two functions for these signed hypergroups.
Nejib 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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