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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2014, Volume 14, Issue 4(2), Pages 558–569
DOI: https://doi.org/10.18500/1816-9791-2014-14-4-558-569 (Mi isu549) 		 
Mathematics

Riescz Basis Property of Eigen and Associated Functions of Integral Operators with Discontinuous Kernels, Containing Involution

V. P. Kurdumov, A. P. Khromov

Saratov State University, 83, Astrakhanskaya str., Saratov, 410012, Russia
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DOI: https://doi.org/10.18500/1816-9791-2014-14-4-558-569
Abstract: For invertible integral operator which kernel is discontinuous on the diagonals of the unit square Riescz basis property of its eigen and associated functions in $L_2[0,1]$ is proved.
Key words: Riescz basis, resolvent, boundary condition.
Bibliographic databases:
Document Type: Article
UDC: 517.984
Language: Russian
Citation: V. P. Kurdumov, A. P. Khromov, “Riescz Basis Property of Eigen and Associated Functions of Integral Operators with Discontinuous Kernels, Containing Involution”, Izv. Saratov Univ. Math. Mech. Inform., 14:4(2) (2014), 558–569
Citation in format AMSBIB
\Bibitem{KurKhr14}
\by V.~P.~Kurdumov, A.~P.~Khromov
\paper Riescz Basis Property of Eigen and Associated Functions of Integral Operators with Discontinuous Kernels, Containing Involution
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2014
\vol 14
\issue 4(2)
\pages 558--569
\mathnet{http://mi.mathnet.ru/isu549}
\crossref{https://doi.org/10.18500/1816-9791-2014-14-4-558-569}
\elib{https://elibrary.ru/item.asp?id=22625606}
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