局部紧群上概率测度卷积幂弱收敛等价性定理

Equivalence Theorem about Weak Convergence of Probability Measures' Convolution Powers on Locally Compact Groups

本文研究拓扑代数结构上概率测度的极限性质.把Kawada-Ito等人在紧群上得到的有关卷积幂弱收敛等价性的经典结果完整地推广到局部紧群上.

In this paper, the limit properties of weak convergence of probability measures' convolution powers have been considered on topological structure. The classical results on compact groups, achieved by Kawada-Ito and so on. have been extended to locally compact groups.