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Proceedings of the American Mathematical Society

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A short proof of the Fourier inversion formula


Author: Alain Robert
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
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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 [Enhancements On Off] (What's this?)

  • [1] N. J. Vilenkin, Special functions and the theory of group representations, ``Nauka", Moscow, 1965; English transl., Transl. Math. Monographs, vol. 22, Chap. II, p. 3, Amer. Math. Soc., Providence, R.I., 1968. MR 35 #420; 37 #5429. MR 0209523 (35:420)

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DOI: https://doi.org/10.1090/S0002-9939-1976-0511028-1
Article copyright: © Copyright 1976 American Mathematical Society

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