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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Integral representations of invariant measures


Author: Ashok Maitra
Journal: Trans. Amer. Math. Soc. 229 (1977), 209-225
MSC: Primary 28A65
MathSciNet review: 0442197
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Abstract: 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 $ \mathcal{J}$ on a measurable space $ (X,\mathcal{A})$. Our results unify and extend results of Farrell and Varadarajan on the representation of invariant measures.


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DOI: https://doi.org/10.1090/S0002-9947-1977-0442197-5
Keywords: Measurable transformations, invariant measures, extreme points, sufficient $ \sigma $-fields, representability
Article copyright: © Copyright 1977 American Mathematical Society