Heyde theorem on locally compact abelian groups with the connected component of zero of dimension 1

DOI10.1007/S11118-023-10095-4arXiv2307.10914OpenAlexW4386420493MaRDI QIDQ6131716

Gennadiy Feldman

Publication date: 18 April 2024

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2307.10914

zbMATH Keywords

Gaussian distributioncharacterization theoremlocally compact abelian groupconditional distributiontopological 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)

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