Gennadiy Feldman

activity

20122026

most citedIndependent random variables on Abelian groups with independent the sum and difference

2 citations · 3 across the 11 of their papers we have counts for

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math.PR2025

Heyde characterization theorem for some classes of locally compact Abelian groups

Gennadiy Feldman

Let $L_{1}$ and $L_{2}$ be linear forms of real-valued independent random variables. By Heyde's theorem, if the conditional distribution of $L_{2}$ given $L_{1}$ is symmetric, then the ran…

math.PR2025

An Analogue of Heyde's Theorem for a Certain Class of Compact Totally Disconnected Abelian Groups and p-quasicyclic Groups

Gennadiy Feldman

According to the well-known Heyde theorem, the Gaussian distribution on the real line is characterized by the symmetry of the conditional distribution of one linear form of indepen…