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The Choquet-Deny convolution equation μ=μ*σ for probability measures on Abelian semigroups

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Abstract

In this note, we characterize the regular probability measures μ satisfying the Choquet-Deny convolution equation μ=μ*σ on Abelian topological semigroups for a given probability measure σ.

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Székely, G.J., Zeng, WB. The Choquet-Deny convolution equation μ=μ*σ for probability measures on Abelian semigroups. J Theor Probab 3, 361–365 (1990). https://doi.org/10.1007/BF01045167

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  • DOI: https://doi.org/10.1007/BF01045167

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