A generalization of the weak law of large numbers is proved in the case of a process indexed by a second countable locally compact Abelian group. An application is given to random measures.
"LLN for Weakly Stationary Processes on Locally Compact Abelian Groups." Ann. Probab. 2 (6) 1168 - 1171, December, 1974. https://doi.org/10.1214/aop/1176996504