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A note on the equation λ * ρ * μ = ρ

Published online by Cambridge University Press:  17 April 2009

C. Robinson Edward Raja
C. Robinson Edward Raja
Affiliation:
Université d'AngersFaculté des Sciences, Départment de Mathématiques, 49045 Angers Cedex 01, France e-mail: raja@tonton.univ-angers.fr
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Abstract

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Let G be a Hausdorff topological group and μ and λ be probability measures on G. We prove necessary and sufficient conditions for the existence of a probability measure ρ such that λ * ρ * μ = ρ under certain conditions. We prove a similar result for probability measures on semigroups.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 59 , Issue 3 , June 1999 , pp. 421 - 426
Copyright
Copyright © Australian Mathematical Society 1999

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