most citedThe Heyde characterization theorem on some locally compact Abelian groups

9 citations · 9 across the 2 of their papers we have counts for

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2 papers

math.PR2017

Characterization theorems for -independent random variables with values in a locally compact Abelian group

Gennadiy Feldman

Let be a locally compact Abelian group, be its character group. Following A. Kagan and G. Székely we introduce a notion of -independence for random variables with values…

math.PR2017★ 9 cited

The Heyde characterization theorem on some locally compact Abelian groups

G. M. Feldman

By the Heyde theorem, the Gaussian distribution on the real line is characterized by the symmetry of the conditional distribution of one linear form of of independent random va…