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A note on the equation λ * ρ * μ = ρ
Published online by Cambridge University Press: 17 April 2009
Abstract
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.
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- Research Article
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- Copyright © Australian Mathematical Society 1999