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

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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Bibliographic Details
Published inDifferential equations Vol. 53; no. 9; pp. 1145 - 1159
Main Author Polosin, A. A.
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 01.09.2017
Springer Nature B.V
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Online AccessGet full text
ISSN0012-2661
1608-3083
DOI10.1134/S0012266117090051

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Summary: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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ISSN:0012-2661
1608-3083
DOI:10.1134/S0012266117090051