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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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Fourier transforms and the Hermite-Biehler theorem
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by G. Csordas and R. S. Varga PDF
Proc. Amer. Math. Soc. 107 (1989), 645-652 Request permission

Abstract:

A new necessary and sufficient condition for real entire functions, represented by Fourier transforms, to have only real zeros is proved. An application of this result to the Riemann $\xi$-function is also given.
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Additional Information
  • © Copyright 1989 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 107 (1989), 645-652
  • MSC: Primary 30C15; Secondary 30D15, 33A70, 42A38
  • DOI: https://doi.org/10.1090/S0002-9939-1989-0982401-1
  • MathSciNet review: 982401