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.

About the authors

A. A. Polosin

Faculty of Computational Mathematics and Cybernetics

Author for correspondence.
Email: alexei-polosin@mail.ru
Russian Federation, Moscow, 119991

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