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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


Invertible measure preserving transformations and pointwise convergence
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by J.-M. Belley PDF
Proc. Amer. Math. Soc. 43 (1974), 159-162 Request permission


An investigation of pointwise convergence of sequences $\{ \sum \nolimits _{j = - \infty }^\infty {a_j^kf({T^{ - j}}x):k = 1,2, \cdots } \}$ where $f$ lies in the space ${L^1}([0,1])$ of Lebesgue integrable functions on the unit interval, $T$ is an invertible measure preserving transformation on $[0,1]$, and the sequence of polynomials $\{ \sum \nolimits _{j = - \infty }^\infty {a_j^k{z^{ - j}}:k = 1,2, \cdots } \}$ is uniformly bounded and pointwise convergent for all $z$ such that $|z| = 1$.
    H. Davis, Fourier series and orthogonal functions, Allyn and Bacon, Boston, Mass., 1963.
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Additional Information
  • © Copyright 1974 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 43 (1974), 159-162
  • MSC: Primary 28A65
  • DOI:
  • MathSciNet review: 0335752