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On eigenfunctions of a convolution operator on a finite interval for which the Fourier image of the kernel is the characteristic function

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Abstract

An asymptotic representation of the eigenfunctions of a convolution-type completely continuous operator for which the image of the kernel is the characteristic function of the interval is constructed.

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Authors and Affiliations

  1. Faculty of Computational Mathematics and Cybernetics, 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 Doklady Akademii Nauk, 2017, Vol. 475, No. 6, pp. 614–617.

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Polosin, A.A. On eigenfunctions of a convolution operator on a finite interval for which the Fourier image of the kernel is the characteristic function. Dokl. Math. 96, 389–392 (2017). https://doi.org/10.1134/S1064562417040305

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  • DOI: https://doi.org/10.1134/S1064562417040305

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