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On a completeness theorem of Paley and Wiener


Author: Robert M. Young
Journal: Proc. Amer. Math. Soc. 76 (1979), 349-350
MSC: Primary 42A38; Secondary 30B60, 46E99
DOI: https://doi.org/10.1090/S0002-9939-1979-0537103-6
MathSciNet review: 537103
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Abstract: In this brief note we offer a simplified proof of a classical completeness theorem for systems of complex exponential functions $ \{ {e^{i{\lambda _n}t}}\} $.


References [Enhancements On Off] (What's this?)

  • [1] Norman Levinson, Gap and Density Theorems, American Mathematical Society Colloquium Publications, v. 26, American Mathematical Society, New York, 1940. MR 0003208
  • [2] Raymond E. A. C. Paley and Norbert Wiener, Fourier transforms in the complex domain, American Mathematical Society Colloquium Publications, vol. 19, American Mathematical Society, Providence, RI, 1987. Reprint of the 1934 original. MR 1451142

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1979-0537103-6
Keywords: Exact system of complex exponentials, Paley-Wiener representation
Article copyright: © Copyright 1979 American Mathematical Society