On a characterization theorem on \(a\)-adic solenoids

DOI10.1134/S1064562419060103zbMath1448.60013arXiv1912.00924OpenAlexW2994899207MaRDI QIDQ2191316

Gennadiy Feldman

Publication date: 24 June 2020

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

Full work available at URL: https://arxiv.org/abs/1912.00924

zbMATH Keywords

topological automorphisms\(a\)-adic solenoids

Mathematics Subject Classification ID

Characterization and structure theory of statistical distributions (62E10) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Cites Work

• The Heyde theorem for locally compact abelian groups
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• On the Heyde theorem for finite Abelian groups
• Functional equations and characterization problems on locally compact abelian groups
• On a characterization theorem for locally compact Abelian groups
• On a characterization theorem for the group of $p$-adic numbers
• The Heyde theorem on a-adic solenoids
• On the Heyde theorem for discrete Abelian groups
• Heyde's Characterization Theorem for Some Locally Compact Abelian Groups
• On a characterization of convolutions of Gaussian and Haar distributions
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