A new technique is developed for studying the convergence of nets of probability measures on a topological group. It is applied to results concerned with the interplay between convergence and convolutions of measures like properties of the convolution mapping, divisibility of measures and convolution semigroups. Our method gives a unified and simple approach to these results.
"Convergence and Convolutions of Probability Measures on a Topological Group." Ann. Probab. 4 (3) 433 - 443, June, 1976. https://doi.org/10.1214/aop/1176996091