2 citations · 3 across the 11 of their papers we have counts for
Showing 2024Show all
3 papers · 1 filter
math.PR2024
Characterization of probability distributions on some locally compact Abelian groups containing an element of order 2
Gennadiy Feldman
The well-known Heyde theorem characterizes the Gaussian distributions on the real line by the symmetry of the conditional distribution of one linear form of independent random vari…
math.PR2024
Heyde theorem for locally compact Abelian groups containing no subgroups topologically isomorphic to the 2-dimensional torus
Gennadiy Feldman
We prove the following group analogue of the well-known Heyde theorem on a characterization of the Gaussian distribution on the real line. Let be a second countable locally com…
math.PR2024
On the Li--Zheng theorem
Gennadiy Feldman
By the well-known I.Kotlarski lemma, if , , and are independent real-valued random variables with nonvanishing characteristic functions, and $L_2=ξ_2-…