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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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A note on solutions to the Wiener-Hopf equation with positive kernel
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by J. Mineka
Proc. Amer. Math. Soc. 38 (1973), 361-364
DOI: https://doi.org/10.1090/S0002-9939-1973-0312101-0

Abstract:

For the Wiener-Hopf equation with positive kernel, $n > 0$ an integer, either (1) there is a unique solution with bounded $n$th order differences, or (2) there is a unique solution with $n$th order differences approaching zero, or (3) there is no solution with bounded differences. Necessary and sufficient conditions for (1), (2) and (3) are formulated probabilistically.
References
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Bibliographic Information
  • © Copyright 1973 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 38 (1973), 361-364
  • MSC: Primary 39A10; Secondary 47B35, 60J10
  • DOI: https://doi.org/10.1090/S0002-9939-1973-0312101-0
  • MathSciNet review: 0312101