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

作　　者：张慧[1] 

机构地区：[1]山东大学数学与系统科学院,济南250100

出　　处：《应用概率统计》2003年第1期85-91,共7页Chinese Journal of Applied Probability and Statistics

基　　金：国家自然科学基金资助项目(19571049).

摘　　要：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.

关 键 词：等价性定理 局部紧群 概率测度 卷积幂 弱收敛 

分 类 号：O211.4[理学—概率论与数理统计]