Some remarks on P. Levy's theorem for a net of discrete measures and the purity law on locally compact semigroups

DOI10.1007/BF02572785zbMath0456.60008MaRDI QIDQ1150932

Arnold Janssen

Publication date: 1981

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/134465

zbMATH Keywords

branching processesmeasures on topological groupsinfinite convolution productpurity lawChoquet equation

Mathematics Subject Classification ID

Probability measures on topological spaces (60B05) Convergence of probability measures (60B10) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Cites Work

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• Pre-Radon measures on topological spaces
• A general purity law for convolution semigroups with discrete Levy measure
• Convergence and convolutions of probability measures on a topological group
• Measures on topological semigroups: Convolution products and random walks
• Idempotent measures on semigroups
• Infinite Convolutions on Locally Compact Abelian Groups and Additive Functions
• On infinite products of independent random elements on metric semigroups
• Equivalence theorems for infinite products of independent random elements on metric semigroups
• Infinite Product Measures and Infinite Convolutions

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