Les fonctions de Lévy existent ! (Lévy\(functions\) do exist !)
type: Item
instance of: scholarly article
title: Les fonctions de Lévy existent ! (Lévy\(functions\) do exist !)
zbMATH Open document ID: 0572.43003
DOI: 10.1007/BF01458015
author: Henri Buchwalter
published in: Mathematische Annalen
publication date: 1986-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/164085
review text: We give a complete solution of the open problem of existence of a Lévy function L on a \({}^*\)-semigroup \((S,+,^*)\). For this we bring back the problem to the case of a group \(S=G\), solved by \textit{K. R. Parthasarathy}, \textit{R. Ranga Rao} and \textit{S. R. S. Varadhan} [Ill. J. Math. 7, 337-369 (1963; Zbl 0129.109)], with the help of the canonical group \(G=G_ S\) associated to S by the author [Math. Ann. 271, 619-639 (1985; Zbl 0547.39002)].
Mathematics Subject Classification ID: 43A35
Mathematics Subject Classification ID: 39B52
zbMATH DE Number: 3912977
zbMATH Keywords: Lévy function
zbMATH Keywords: *-semigroup
zbMATH Keywords: semigroups with involution
MaRDI profile type: Publication
cites work: Q3755956
cites work: The L�vy-Hin?in representation of negative definite functions
cites work: Probability distributions on locally compact Abelian groups
description: scientific article; zbMATH DE number 3912977