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Inversion of integral operators with kernels discontinuous on the diagonal

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Publication:1966282
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DOI10.1007/BF02313039zbMath0938.45009MaRDI QIDQ1966282

Avgoust P. Khromov

Publication date: 21 June 2000

Published in: Mathematical Notes (Search for Journal in Brave)


zbMATH Keywords

inverse operatorsingular integral operatorspectral theoryeigenfunction expansiondiscontinuous kernelFredholm resolventexplicit inversion formulas


Mathematics Subject Classification ID

Integral operators (45P05) Integral operators (47G10) Fredholm integral equations (45B05) Eigenvalue problems for integral equations (45C05) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)


Related Items (5)

A functional-differential operator with involution ⋮ The Riesz bases consisting of eigen and associated functions for a functional differential operator with variable structure ⋮ Some properties of functional-differential operators with involution \(\nu(x)=1-x\) and their applications ⋮ On an analog of the Jordan-Dirichlet theorem for eigenfunction expansions of one differential-difference operator with an integral boundary condition ⋮ On equiconvergence of spectral expansions of integral operators







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