Geodesic
Three-series theorems for locally compact groups
Sbornik. Mathematics, Tome 45 (1983) no. 2, pp. 225-241 Cet article a éte moissonné depuis la source Math-Net.Ru

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This article deals with conditions for the convergence of the product $\prod\limits_1^\infty\xi_n$ of independent random variables $\xi_n$ taking values in an arbitrary locally compact group $G$. For various types of groups necessary and sufficient conditions are given for the convergence of this product almost everywhere, expressed in terms of the group $G$. They can be regarded as analogues of the classical three-series theorem. Bibliography: 14 titles 
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V. M. Maksimov. Three-series theorems for locally compact groups. Sbornik. Mathematics, Tome 45 (1983) no. 2, pp. 225-241. http://geodesic.mathdoc.fr/item/SM_1983_45_2_a4/

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