9 citations · 10 across the 15 of their papers we have counts for
17 papers
Characterization of Probability Distributions on Locally Compact Abelian Groups by the Property of Identical Distribution of Linear Forms with Random Coefficients
Gennadiy Feldman
Let X be a locally compact Abelian group. We consider linear forms of independent random variables with values in X. In doing so, one of the coefficients of the linear forms is a r…
Heyde theorem on locally compact Abelian groups with the connected component of zero of dimension 1
Gennadiy Feldman
Let be a locally compact Abelian group with the connected component of zero of dimension 1. Let and be independent random variables with values in with nonvanis…
On a characterization theorem in the space
G. M. Feldman
By Heyde's theorem, the class of Gaussian distributions on the real line is characterized by the symmetry of the conditional distribution of one linear form of independent random v…
The Heyde characterization theorem on compact totally disconnected and connected Abelian groups
Gennadiy Feldman
By 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 independent rando…
Generalized Polya's theorem on connected locally compact Abelian groups of dimension 1
G. M. Feldman
According to the generalized Polya theorem, the Gaussian distribution on the real line is characterized by the property of equidistribution of a monomial and a linear form of indep…
Solution of the Kac--Bernstein functional equation on Abelian groups in the class of positive functions
G. M. Feldman
The general form of the solutions of the Kac--Bernstein functional equation on an arbitrary Abelian group in the class of pos…