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On the heredity of Hun and Hungarian property

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Abstract

Denote byD(S) the convolution semigroup of compact-regular probability measures on a topological semigroupS. Hincin's classical decomposition theorems are extended to finite point processes on a completely regular topological space and to the convolution semigroupsD(D(G)), D(D(D(G))),... whereG is a locally compact Hausdorff group. The paper applies the Hun-Hungarian semigroup theory approach of Ruzsa and Székely; the proofs also follow this abstract setting.

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  1. Department of Probability Theory, L. Eötvös University, Budapest, Hungary

    András Zempléni

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  1. András Zempléni
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Zempléni, A. On the heredity of Hun and Hungarian property. J Theor Probab 3, 599–609 (1990). https://doi.org/10.1007/BF01046099

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  • DOI: https://doi.org/10.1007/BF01046099

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