Polish-H半群上概率测度卷积幂的弱收敛性

Weak Convergence of Converlution Power Sequence of Probability Measure on Polish-H Semigroups

定义了一类拓扑半群———Polish H半群 ,建立了Polish H半群上Kawada Ito型结果的某种形式 ,由于局部紧的、第二可数Hausdorff拓扑半群是Polish半群的真子集 ,因此本文的结果含盖了

Define a kind of topological semigroup: That's Polish H semigroup, and rebuild some kind of Kawada Ito conclusion on Polish H semigroup. Because the locally compact?second countable and Hausdorff topological semigroup is a subset of Polish semigroup, the Theoren in is a corollary of the Theorem.