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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.

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On a uniqueness problem in the theory of linear integral equations
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by Robert R. Stevens PDF
Proc. Amer. Math. Soc. 49 (1975), 95-103 Request permission

Abstract:

The primary purpose of this paper is to give sufficient conditions for a function $G$ which ensure that if $\int _0^1 {f(xt)G(t)dt = 0}$ a.e. in $(0, 1)$ then the function $f$ is zero almost everywhere in $(0, 1)$. Several applications are given.
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Additional Information
  • © Copyright 1975 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 49 (1975), 95-103
  • MSC: Primary 45A05; Secondary 26A42
  • DOI: https://doi.org/10.1090/S0002-9939-1975-0387987-6
  • MathSciNet review: 0387987