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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 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Composing functions of bounded variation
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by Michael Josephy
Proc. Amer. Math. Soc. 83 (1981), 354-356
DOI: https://doi.org/10.1090/S0002-9939-1981-0624930-9
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Abstract:

We find necessary and sufficient conditions on $g$ such that $f \circ g({\text {resp}}{\text {.}}g \circ f)$ is a function of bounded variation for all $f$ of bounded variation.
References
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Bibliographic Information
  • © Copyright 1981 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 83 (1981), 354-356
  • MSC: Primary 26A45
  • DOI: https://doi.org/10.1090/S0002-9939-1981-0624930-9
  • MathSciNet review: 624930