Absolute and uniform convergence of eigenfunction expansions of integral operators with kernels admitting derivative discontinuities on the diagonals

DOI10.1134/S0001434607050094zbMath1143.45005OpenAlexW2061057530MaRDI QIDQ2473751

V. V. Kornev

Publication date: 4 March 2008

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

Full work available at URL: https://doi.org/10.1134/s0001434607050094

zbMATH Keywords

integral operatorboundary-value problemmodulus of continuityeigenfunction expansiontrigonometric Fourier seriesFredholm resolventSzasz's theorem on absolute convergence

Mathematics Subject Classification ID

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

Cites Work

• On the equiconvergence of expansions in eigenfunctions of integral operators with kernels that admit discontinuities in the derivatives on the diagonals.
• Absolute convergence of expansions in eigen- and adjoint functions of an integral operator with a variable limit of integration

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