ACTA issues

Characterization of probability measures on locally compact Abelian groups via Q-independence

B. L. S. Prakasa Rao

Acta Sci. Math. (Szeged) 84:3-4(2018), 705-711

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 [12].

DOI: 10.14232/actasm-017-530-3

AMS Subject Classification (1991): 60B15, 62E10

Keyword(s): $Q$-independence, characterization, locally compact Abelian group

Received April 27, 2017 and in final form April 18, 2018. (Registered under 30/2017.)