On Geary's theorem for the field of \(p\)-adic numbers

DOI10.1134/S1064562416020095zbMath1341.11067OpenAlexW2461615570MaRDI QIDQ2631197

Margaryta Myronyuk, Gennadiy Feldman

Publication date: 29 July 2016

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

Full work available at URL: https://doi.org/10.1134/s1064562416020095

zbMATH Keywords

random variablesHaar distributionGeary's theoremsquared difference

Mathematics Subject Classification ID

Functional limit theorems; invariance principles (60F17) Set functions and measures on topological groups or semigroups, Haar measures, invariant measures (28C10) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15) Other nonanalytic theory (11S85)

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• The Heyde theorem on a-adic solenoids
• On the Heyde theorem for discrete Abelian groups
• On the Skitovich–Darmois Theorem on Abelian Groups
• A Characterization of the Normal Distribution

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