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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2009, Volume 9, Issue 4(1), Pages 28–35
DOI: https://doi.org/10.18500/1816-9791-2009-9-4-1-28-35 (Mi isu72) 		 
Mathematics

On Riesz basises of eigenfunctions of integral operators with kernels discontinuous on broken lines

V. P. Kurdyumov

Saratov State University, Chair of Differential Equations and Applied Mathematics
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DOI: https://doi.org/10.18500/1816-9791-2009-9-4-1-28-35
Abstract: For the integral operator, which kernel has jump discontinuities on the sides and diagonals of the four equal subsquares of the unit square $0\le x,t\le1$, Riesz basisness of its eigen and associated functions is proved.
Key words: integral operator, boundary conditions, regularity, Riesz basisness, eigenfunctions, eigenvalues.
Bibliographic databases:
Document Type: Article
UDC: 517.984
Language: Russian
Citation: V. P. Kurdyumov, “On Riesz basises of eigenfunctions of integral operators with kernels discontinuous on broken lines”, Izv. Saratov Univ. Math. Mech. Inform., 9:4(1) (2009), 28–35
Citation in format AMSBIB
\Bibitem{Kur09}
\by V.~P.~Kurdyumov
\paper On Riesz basises of eigenfunctions of integral operators with kernels discontinuous on broken lines
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2009
\vol 9
\issue 4(1)
\pages 28--35
\mathnet{http://mi.mathnet.ru/isu72}
\crossref{https://doi.org/10.18500/1816-9791-2009-9-4-1-28-35}
\elib{https://elibrary.ru/item.asp?id=13032930}
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    		Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
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