On a characterization theorem for a Cauchy distribution on Abelian groups

DOI10.1007/BF02113933zbMath0856.60009OpenAlexW2081793491MaRDI QIDQ1921771

Gennadiy Feldman

Publication date: 17 February 1997

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02113933

zbMATH Keywords

characterizationlocally compact Abelian groupsCauchy distributioncompact subgroups

Mathematics Subject Classification ID

General properties and structure of LCA groups (22B05) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

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Cites Work

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• Probability distributions on locally compact Abelian groups
• Characterizing the Gaussian distribution on groups by the uniform distribution of a monomial and linear statistics
• Groups admitting a characterization of the Gaussian distribution by the equidistribution of a monomial and linear statistics