Gaussian Distributions on Locally Compact Abelian Groups

DOI10.1137/1123062zbMath0421.60009OpenAlexW2062628539MaRDI QIDQ3854353

Gennadiy Feldman

Publication date: 1979

Published in: Theory of Probability & Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/1123062

zbMATH Keywords

infinitely divisiblecharacteristic functionGaussian distributions on locally compact abelian groups

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Characteristic functions; other transforms (60E10) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (11)

On the Skitovich-Darmois theorem for some locally compact abelian groups ⋮ On notions of Q-independence and Q-identical distributiveness ⋮ Characterization theorems for \(Q\)-independent random variables with values in a locally compact abelian group ⋮ On a characterization of shifts of Haar distributions on compact open subgroups of a compact abelian group ⋮ Gaussian distributions in the sense of Bernstein on locally compact abelian groups ⋮ A characterization theorem on compact abelian groups ⋮ The Heyde theorem for locally compact abelian groups ⋮ Generalized Pólya's theorem on \(\boldsymbol{a}\)-adic solenoids ⋮ On a generalisation of the Skitovich-Darmois theorem for several linear forms on abelian groups ⋮ Characterization of distributions of \(Q\)-independent random variables on locally compact abelian groups ⋮ On the decomposition of the convolution of a Gaussian and Poisson distribution on locally compact Abelian groups

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