The Heyde theorem on the group of \(p\)-adic numbers

DOI10.1134/S1064562414030259zbMath1302.22006OpenAlexW2008553867MaRDI QIDQ471393

Gennadiy Feldman

Publication date: 14 November 2014

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562414030259

zbMATH Keywords

random variables\(p\)-adic numbersHeyde theorem

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Analysis on (p)-adic Lie groups (22E35) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Cites Work

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• The Heyde theorem for locally compact abelian groups
• A characterization of the Gaussian distribution on Abelian groups
• On the Heyde theorem for finite Abelian groups
• On the Heyde theorem for discrete Abelian groups
• Random walks on discrete Abelian groups