Gennadiy Feldman

collaborators

3 papers

math.PR2026

An Analogue of Heyde's Theorem for Discrete Torsion Abelian Groups with Cyclic $p$ -Components

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 $n$ ind…

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…

An Analogue of Heyde's Theorem for Discrete Torsion Abelian Groups with Cyclic p-Components

Heyde characterization theorem for some classes of locally compact Abelian groups

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

An Analogue of Heyde's Theorem for Discrete Torsion Abelian Groups with Cyclic $p$ -Components