紧交换半群上概率测度卷积幂的一个极限定理

A LIMIT THEOREM FOR CONVOLUTION ITERATES OF A PROBABILITY MEASURE ON COMPACT ABELIAN SEMIGROUP

本文证明:紧交换半群S上概率测度卷积幂序列{μ~m}n】1;可Shift收敛于某个不变测度。

In this paoer we prove that if {μn } n≥1 is a sequence of convolution in the compact Abelian semigroups, then there exsits a sequece {an} a≥1 S such that { μn * δan} n≥1 convegent to a invariant measuse on S.