Abstract. We obtain a characterization for probability measures on a locally compact Abelian group $X$ based on linear forms of $Q$-independent random elements taking values in $X$ generalizing the earlier work of the author in .
AMS Subject Classification
(1991): 60B15, 62E10
locally compact Abelian group
Received April 27, 2017 and in final form April 18, 2018. (Registered under 30/2017.)