Generalization of the Heyde theorem to some locally compact abelian groups

DOI10.1007/s00025-022-01719-zzbMath1503.43005arXiv2207.03014OpenAlexW4285491746WikidataQ113906318 ScholiaQ113906318MaRDI QIDQ2159709

Gennadiy Feldman

Publication date: 2 August 2022

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

Full work available at URL: https://arxiv.org/abs/2207.03014

zbMATH Keywords

locally compact abelian groupHeyde's theoremtopological automorphism

Mathematics Subject Classification ID

Characterization and structure theory of statistical distributions (62E10) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25) Positive definite functions on groups, semigroups, etc. (43A35) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Cites Work

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• Random walks on discrete Abelian groups
• Heyde's Characterization Theorem for Some Locally Compact Abelian Groups
• On a Characterization Theorem for Probability Distributions on Discrete Abelian Groups
• On a characterization of convolutions of Gaussian and Haar distributions

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