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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

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

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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The weighted pointwise ergodic theorem and the individual ergodic theorem along subsequences
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by A. Bellow and V. Losert PDF
Trans. Amer. Math. Soc. 288 (1985), 307-345 Request permission

Abstract:

In this paper on the weighted pointwise ergodic theorem we bring together a substantial amount of previous work by a number of mathematicians and integrate it into a systematic consistent scheme; we also bring some original contributions to the subject which extend its boundaries and suggest further avenues of research. The paper is divided into six sections. The most significant new results are contained in $\S \S 5$ and $6$.
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Additional Information
  • © Copyright 1985 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 288 (1985), 307-345
  • MSC: Primary 28D05
  • DOI: https://doi.org/10.1090/S0002-9947-1985-0773063-8
  • MathSciNet review: 773063