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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Published in | Differential equations Vol. 53; no. 9; pp. 1145 - 1159 |
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Main Author | |
Format | Journal Article |
Language | English |
Published |
Moscow
Pleiades Publishing
01.09.2017
Springer Nature B.V |
Subjects | |
Online Access | Get full text |
ISSN | 0012-2661 1608-3083 |
DOI | 10.1134/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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Bibliography: | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
ISSN: | 0012-2661 1608-3083 |
DOI: | 10.1134/S0012266117090051 |