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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2013, Volume 13, Issue 1(2), Pages 59–62
DOI: https://doi.org/10.18500/1816-9791-2013-13-1-2-59-62 (Mi isu375) 		 
Mathematics

On Convergence of Expansions in Eigen Functions of Integral Operators with Discontinuous Kernel

V. V. Kornev

Saratov State University
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DOI: https://doi.org/10.18500/1816-9791-2013-13-1-2-59-62
Abstract: For integral operators with a jump of its kernel on the diagonal it will be found necessary and sufficient conditions of invertibility. Conditions providing equiconvergence of expansions in eigen functions of these operators and trigonometric Fourier series are established.
Key words: integral operator, eigen functions, Fourier series, equiconvergence.
Bibliographic databases:
Document Type: Article
UDC: 517.984
Language: Russian
Citation: V. V. Kornev, “On Convergence of Expansions in Eigen Functions of Integral Operators with Discontinuous Kernel”, Izv. Saratov Univ. Math. Mech. Inform., 13:1(2) (2013), 59–62
Citation in format AMSBIB
\Bibitem{Kor13}
\by V.~V.~Kornev
\paper On Convergence of Expansions in Eigen Functions of Integral Operators with Discontinuous Kernel
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2013
\vol 13
\issue 1(2)
\pages 59--62
\mathnet{http://mi.mathnet.ru/isu375}
\crossref{https://doi.org/10.18500/1816-9791-2013-13-1-2-59-62}
\elib{https://elibrary.ru/item.asp?id=21976876}
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