9 citations · 10 across the 8 of their papers we have counts for
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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…
On Heyde's theorem for locally compact Abelian groups containing elements of order 2
G. M. Feldman
According to the well-known Heyde theorem the class of Gaussian distributions on the real line is characterized by the symmetry of the conditional distribution of one linear form o…
The Skitovich--Darmois and Heyde theorems for complex and quaternion random variables
G. M. Feldman
We prove the following analogue of the classical Skitovich--Darmois theorem for complex random variables. Let be a nonzero complex number. Then the following statements ho…
On a characterisation theorem for -adic solenoids
G. M. Feldman
According to the Heyde theorem the Gaussian distribution on the real line is characterized by the symmetry of the conditional distribution of one linear form of independent random…
On a generalisation of the Skitovich--Darmois theorem for several linear forms on Abelian groups
Gennadiy Feldman
A.M. Kagan introduced a class of distributions in and proved that if the joint distribution of linear forms of independent random variab…