Convolution structure associated with the Jacobi-Dunkl operator on IR

N. Ben Salem; A. Ould Ahmed Salem

doi:10.1007/s11139-006-0149-0

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Convolution structure associated with the Jacobi-Dunkl operator on IR

Journal article

Peer reviewed

Convolution structure associated with the Jacobi-Dunkl operator on IR

N. Ben Salem and A. Ould Ahmed Salem

The Ramanujan journal, Vol.12(3), pp.359-378

01/12/2006

DOI: https://doi.org/10.1007/s11139-006-0149-0

Abstract

Mathematics

Physical Sciences

Science & Technology

In this paper, a product formula for the eigenfunction of the Jacobi-Dunkl differential-difference operator is derived. It leads to a uniformly bounded convolution of point measures and a signed hypergroup on IR.

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Title: Convolution structure associated with the Jacobi-Dunkl operator on IR
Creators - without role: N. Ben Salem - Laboratoire de Mathématiques d'Orsay
A. Ould Ahmed Salem - Laboratoire de Mathématiques d'Orsay
Publication Details: The Ramanujan journal, Vol.12(3), pp.359-378
Publisher: Springer Nature
Number of pages: 20
Identifiers: 9923076808331
Academic Unit: King Khalid University
Language: English
Resource Type: Journal article