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A Fourier-Type Transform on the Semiaxis with an Arbitrary Phase

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Abstract

Integral equations on the semiaxis with kernels having the form of a linear combination of the Fourier sine and cosine transforms with arbitrary variable complex coefficients are considered. For the case in which the coefficients depend on only one variable, exact solutions are presented. Various generalizations and applications to integral equations are given.

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Authors and Affiliations

  1. OOO “TWELL,”, St. Petersburg, 196006, Russia

    V. É. Petrov

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  1. V. É. Petrov
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Correspondence to V. É. Petrov.

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Russian Text © The Author(s), 2020, published in Matematicheskie Zametki, 2020, Vol. 107, No. 2, pp. 256–275.

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Petrov, V.É. A Fourier-Type Transform on the Semiaxis with an Arbitrary Phase. Math Notes 107, 296–312 (2020). https://doi.org/10.1134/S0001434620010307

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  • DOI: https://doi.org/10.1134/S0001434620010307

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