Characterization of probability distributions on locally compact Abelian groups /

"It is well known that if two independent identically distributed random variables are Gaussian, then their sum and difference are also independent. It turns out that only Gaussian random variables have such property. This statement, known as the famous Kac-Bernstein theorem, is a typical examp...

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Bibliographic Details
Main Authors:	Felʹdman, G. M (Gennadiĭ Mikhaĭlovich), 1947- (Author), Felʹdman, G. M (Gennadiĭ Mikhaĭlovich) (Author, http://id.loc.gov/vocabulary/relators/aut), Felʹdman, G. M (Gennadiĭ Mikhaĭlovich) (Author), Felʹdman, G. M (Gennadiĭ Mikhaĭlovich), 1947- (Author)
Corporate Author:	American Mathematical Society (http://id.loc.gov/vocabulary/relators/isb)
Format:	Book
Language:	English
Published:	Providence, Rhode Island : American Mathematical Society, [2023]
Series:	Mathematical surveys and monographs ; no. 273 Mathematical surveys and monographs ; no. 273 Mathematical surveys and monographs no. 273
Subjects:	Distribution (Probability theory) > ^A1011661 Distribution (Probability theory) Locally compact Abelian groups > ^A1035346 Locally compact Abelian groups Distribution (Théorie des probabilités) Groupes abéliens localement compacts Abstract harmonic analysis > Abstract harmonic analysis > Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups Abstract harmonic analysis > Abstract harmonic analysis > Positive definite functions on groups, semigroups, etc Abstract harmonic analysis > Abstract harmonic analysis > Positive definite functions on groups, semigroups, etc. Difference and functional equations > Functional equations and inequalities > Equations for functions with more general domains and/or ranges Probability theory and stochastic processes > Probability theory on algebraic and topological structures > Probability measures on groups or semigroups, Fourier transforms, factorization Statistics > Distribution theory > Characterization and structure theory distribution (statistics-related concept)

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