| 紧拓扑半群上概率测度的简单半群及其支撑集 |
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| 引用本文： | 刘锦萼.紧拓扑半群上概率测度的简单半群及其支撑集[J].数学学报,1999,42(6):0-1092. |
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| 作者姓名： | 刘锦萼 |
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| 作者单位： | 山东大学数学与系统科学学院,济南,250100;山东经济学院统计系,济南,250014 |
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| 基金项目： | 国家自然科学基金，山东省自然科学基金 |
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| 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．
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| 关 键 词： | 拓扑半群 概率测度 极限性质 简单半群 |
| 修稿时间： | :1997-07-1 |
Sample Semigroup and It's Support of Probability Measures on Compact Topological Semiroups |
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| Liu Jin'e.Sample Semigroup and It's Support of Probability Measures on Compact Topological Semiroups[J].Acta Mathematica Sinica,1999,42(6):0-1092. |
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| Authors: | Liu Jin'e |
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| Institution: | Liu Jin'e(College of Mathematics and System Science, Shangdong University, Jinan 250100, P. R. China)(Department Of Statistics, Shandong institute Of Economics, Jinan 250014, P. R. China)(E-mail:Lin Je@jn-public. sd. cainfo. net) |
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| Abstract: | 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. |
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| Keywords: | Topological semigroup Probability measure Limit property Simple semi-group |
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