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 example of...

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Bibliographic Details

Main Author:	Felʹdman, G. M. (Gennadiĭ Mikhaĭlovich) (Author)
Format:	Book
Language:	English
Published:	Providence, Rhode Island : American Mathematical Society, [2023].
Series:	Mathematical surveys and monographs ; no. 273.
Subjects:	Locally compact Abelian groups. Distribution (Probability theory)