Generalized laplacians and levy-khintchine formula for k-variable continuous polynomial hypergroups

In this work we prove a representation theorem for generalized Laplacians on certain types of bounded domains D of As applications we give a Lévy-Khintchine formula for certain k-dimensional continuous polynomial hypergroups (D,*), and we characterize convolution semi-groups on D.

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Bibliographic Details
Published inIntegral transforms and special functions Vol. 8; no. 3-4; pp. 245 - 260
Main Authors Mokni, K., Trimèche, K.
Format Journal Article
LanguageEnglish
Published Gordon and Breach Science Publishers 01.12.1999
Subjects
generalized Laplacians
hypergroups
positive definite functions
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Summary:In this work we prove a representation theorem for generalized Laplacians on certain types of bounded domains D of As applications we give a Lévy-Khintchine formula for certain k-dimensional continuous polynomial hypergroups (D,*), and we characterize convolution semi-groups on D.
ISSN:1065-2469
1476-8291
DOI:10.1080/10652469908819232