Jacobi radial stable processes
type: Item
instance of: scholarly article
title: Jacobi radial stable processes
zbMATH Open document ID: 0926.60020
author: Jean-Claude Gruet
published in: Annales Mathématiques Blaise Pascal
publication date: 1999-04-13T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/79201
review text: This paper contains an interesting collection of results on stable processes on the Sturm-Liouville hypergroups associated with Jacobi functions. The results therefore also cover the case of radial stable processes on the noncompact symmetric spaces of rank one. Among other results, integral representations of the Lévy measures of stable processes are given. Moreover, the tails of these Lévy measures at \(\infty\) as well as the behavior at 0 are investigated. The paper is completed by some results on the associated domains of attraction.
reviewed by: Michael Voit
Mathematics Subject Classification ID: 60B15
Mathematics Subject Classification ID: 43A62
Mathematics Subject Classification ID: 60E07
zbMATH DE Number: 1275894
zbMATH Keywords: Jacobi functions
zbMATH Keywords: hypergroups
zbMATH Keywords: stable processes
zbMATH Keywords: Lévy measure
MaRDI profile type: Publication
OpenAlex ID: W2328946334
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DOI: 10.5802/AMBP.109
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description: scientific article; zbMATH DE number 1275894