On a characterization theorem for locally compact abelian groups containing an element of order 2

DOI10.1007/s11118-020-09885-xzbMath1482.60006arXiv2011.02405OpenAlexW3101477636MaRDI QIDQ2073783

Gennadiy Feldman

Publication date: 8 February 2022

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

Full work available at URL: https://arxiv.org/abs/2011.02405

zbMATH Keywords

characterization theoremlocally compact abelian groupconditional distributiontopological automorphism

Mathematics Subject Classification ID

Characterization and structure theory of statistical distributions (62E10) Measures on groups and semigroups, etc. (43A05) Set functions and measures on topological groups or semigroups, Haar measures, invariant measures (28C10) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Positive definite functions on groups, semigroups, etc. (43A35) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15) Probabilistic methods in group theory (20P05)

Related Items

Generalization of the Heyde theorem to some locally compact abelian groups, On a characterization of shifts of Haar distributions on compact open subgroups of a compact abelian group, On a characterization theorem in the space \(\mathbb{R}^n\)

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