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On the Fourier series and Fourier transforms

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Abstract

This survey article is addresses to classical harmonic analysis. In particular, a number of classical theorems are presented with the simplest, in our opinion, proofs (see also [1] and references therein). Some results of the present article are new and are published for the first time.

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References

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Authors and Affiliations

  1. Sumy State University, Sumy, Ukraine

    Roald M. Trigub

Authors
  1. Roald M. Trigub
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Correspondence to Roald M. Trigub.

Additional information

To the century of the birthday of G. D. Suvorov with gratitude

Translated from Ukrains’kiĭ Matematychnyĭ Visnyk, Vol. 16, No. 2, pp. 239–276 April–June, 2019.

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Trigub, R.M. On the Fourier series and Fourier transforms. J Math Sci 244, 65–94 (2020). https://doi.org/10.1007/s10958-019-04605-2

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  • DOI: https://doi.org/10.1007/s10958-019-04605-2

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