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Integral Representations of Invariant Measures

Integral Representations of Invariant Measures

In this paper we prove, under suitable conditions, several representation theorems for invariant measures arising out of the action of a family of measurable transformations 7 on a measurable space (X,&).Our results unify and extend results of Farrell and Varadarajan on the representation of invariant measures.1. Introduction.There is considerable literature …