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Kotel'nikov-Shannon formula for Fourier transforms of distributions with compact supports

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Ukrainian Mathematical Journal Aims and scope

Abstract

For the Fourier transforms of finite distributions, we establish an analog of the well-known Kotel'nikov formula.

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References

  1. V. A. Zorich,Mathematical Analysis [in Russian], Vol. 2, Nauka, Moscow (1984).

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Authors and Affiliations

  1. Kiev Polytechnical Institute, Kiev

    I. G. Izvekov

Authors
  1. I. G. Izvekov
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 47, No. 3, pp. 429–431, March, 1995.

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Izvekov, I.G. Kotel'nikov-Shannon formula for Fourier transforms of distributions with compact supports. Ukr Math J 47, 500–503 (1995). https://doi.org/10.1007/BF01056316

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  • DOI: https://doi.org/10.1007/BF01056316

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