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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

$ k$-parameter semigroups of measure-preserving transformations


Author: Norberto Angel Fava
Journal: Trans. Amer. Math. Soc. 177 (1973), 345-352
MSC: Primary 28A65
MathSciNet review: 0318448
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Abstract: An individual ergodic theorem is proved for semigroups of measure-preserving transformations depending on k real parameters, which generalizes N. Wiener's ergodic theorem.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1973-0318448-0
PII: S 0002-9947(1973)0318448-0
Keywords: Measure-preserving transformations, maximal ergodic operator, weak type, one-parameter family of regions, pointwise ergodic theorem
Article copyright: © Copyright 1973 American Mathematical Society