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On the analyticity of the Fourier original and Fourier transform inside alternate angles

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Ukrainian Mathematical Journal Aims and scope

Abstract

We prove that a Fourier image is an analytic function inside two alternate angles if the Fourier preimage possesses the same property.

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References

  1. E. C. Titchmarsh,Introduction to the Theory of Fourier Integrals [Russian translation], Gostekhizdat, Moscow (1948).

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  2. G. E. Shilov,Mathematical Analysis. Functions of a Single Variable [in Russian], Nauka, Moscow (1969).

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Authors
  1. Yu. I. Cherskii
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Additional information

Odessa Academy of Building and Architecture, Odessa. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 5, pp. 703–707, May, 1999.

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Cherskii, Y.I. On the analyticity of the Fourier original and Fourier transform inside alternate angles. Ukr Math J 51, 781–786 (1999). https://doi.org/10.1007/BF02591711

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  • DOI: https://doi.org/10.1007/BF02591711

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