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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 short proof of the Fourier inversion formula
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by Alain Robert
Proc. Amer. Math. Soc. 59 (1976), 287-288
DOI: https://doi.org/10.1090/S0002-9939-1976-0511028-1
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Abstract:

We give an elementary proof of the Fourier inversion formula (on the real line) based on the Poisson summation formula.
References
  • N. Ja. Vilenkin, Spetsial′nye funktsii i teoriya predstavleniĭ grupp, Izdat. “Nauka”, Moscow, 1965 (Russian). MR 0209523
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Bibliographic Information
  • © Copyright 1976 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 59 (1976), 287-288
  • MSC: Primary 42A68; Secondary 12B40
  • DOI: https://doi.org/10.1090/S0002-9939-1976-0511028-1
  • MathSciNet review: 0511028