Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

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

The 2024 MCQ for Transactions of the American Mathematical Society is 1.48 .

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Functions that preserve the uniform distribution of sequences
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by William Bosch
Trans. Amer. Math. Soc. 307 (1988), 143-152
DOI: https://doi.org/10.1090/S0002-9947-1988-0936809-4
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Abstract:

In this paper, necessary and sufficient conditions are given for certain functions to preserve the uniform distribution of sequences. An analytic condition allows the construction of examples. An application is also given.
References
  • L. Kuipers and H. Niederreiter, Uniform distribution of sequences, Pure and Applied Mathematics, Wiley-Interscience [John Wiley & Sons], New York-London-Sydney, 1974. MR 0419394
  • H. L. Royden, Real analysis, The Macmillan Company, New York; Collier Macmillan Ltd., London, 1963. MR 0151555
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Bibliographic Information
  • © Copyright 1988 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 307 (1988), 143-152
  • MSC: Primary 11K06; Secondary 11J71
  • DOI: https://doi.org/10.1090/S0002-9947-1988-0936809-4
  • MathSciNet review: 936809