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Spectrum and eigenfunctions of the convolution operator on a finite interval with kernel whose transform is a characteristic function

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Abstract

We construct the asymptotics of the spectrum and the eigenfunctions of a convolution integral operator with kernel whose Fourier transform is the characteristic function of an interval.

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Authors and Affiliations

  1. Lomonosov Moscow State University, Moscow, 119991, Russia

    A. A. Polosin

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  1. A. A. Polosin
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Correspondence to A. A. Polosin.

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Original Russian Text © A.A. Polosin, 2017, published in Differentsial’nye Uravneniya, 2017, Vol. 53, No. 9, pp. 1180–1194.

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Polosin, A.A. Spectrum and eigenfunctions of the convolution operator on a finite interval with kernel whose transform is a characteristic function. Diff Equat 53, 1145–1159 (2017). https://doi.org/10.1134/S0012266117090051

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  • DOI: https://doi.org/10.1134/S0012266117090051

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