REPRESENTATION OF GENERALIZED TRANSLATIONS OF THE PRODUCT OF TWO FUNCTIONS ON SIGNED HYPERGROUPS ON THE REAL LINE  

作　　者：Njib Ben Salem Nabila Hamda 

机构地区：[1]Université de Tunis El Manar

出　　处：《Analysis in Theory and Applications》2012年第3期201-223,共23页分析理论与应用（英文刊）

摘　　要：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 hrpergroups on R. Especially, we study the representation of the gener- alized translations of the product of two functions for these signed hypergroups.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 hrpergroups on R. Especially, we study the representation of the gener- alized translations of the product of two functions for these signed hypergroups.

关 键 词：Bessel function Dunkl operator generalized translation signed hypergroup Jacobi-Dunkl operator Jacobi function 

分 类 号：O175.3[理学—数学]