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math.PR2017★ 2 cited
Characterization of distributions of -independent random variables on locally compact Abelian groups
Margaryta Myronyuk
Let be a second countable locally compact Abelian group. We prove some group analogues of the Skitovich--Darmois, Heyde and Kac--Bernstein characterisation theorems for -ind…
math.NT2017
Independent linear forms on the group
Margaryta Myronyuk
Let be the group of -adic numbers, , , be independent random variables with values in and distributions , , . Let be…