紧拓扑半群上概率测度的简单半群及其支撑集  

Sample Semigroup and It's Support of Probability Measures on Compact Topological Semiroups

作　　者：刘锦萼[1,2] 刘锦萼 

机构地区：[1]山东大学数学与系统科学学院,济南250100 [2]山东经济学院统计系,济南250014

出　　处：《数学学报（中文版）》1999年第6期1089-1092,共4页Acta Mathematica Sinica：Chinese Series

基　　金：国家自然科学基金;山东省自然科学基金

摘　　要：本文讨论一类拓扑半群上概率测度的极限性质．首先在紧半群上研究测度的简单半群和它的支撑集的相依关系；然后讨论测度的卷积幂ｕｎ收敛到Ｈａａｒｒ测度的充要条件．In this paper, the limit properties of probability measures on compact topological semigroups is investigated. Firstly, the dependence relationship between thesimple semigroup N of measures and supp N is studied, then the necessary and sufficient conditions that H is presented, where wH is the Haar measure.

关 键 词：概率测度 极限性质 简单半群 紧拓扑半群 支撑集 

分 类 号：O211.4[理学—概率论与数理统计]