Weakly infinitely divisible measures on some locally compact Abelian groups
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چکیده
Let G be a locally compact Abelian topological group having a countable basis of its topology. We also suppose that G has the T0–property, that is, ⋂ U∈Ne U = {e}, where e denotes the identity element of G and Ne is the collection of all Borel neighbourhoods of e. (By a Borel neighbourhood U of e we mean a Borel subset of G for which there exists an open subset Ũ of G such that e ∈ Ũ ⊂ U.) Let us consider a probability measure μ on G and let {Xn,k : n ∈ N, k = 1, . . . , Kn} be an array of rowwise independent random elements with values in G satisfying the infinitesimality condition
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تاریخ انتشار 2008