Geodesic
Absolute and Uniform Convergence of Eigenfunction Expansions of Integral Operators with Kernels Admitting Derivative Discontinuities on the Diagonals
Matematičeskie zametki, Tome 81 (2007) no. 5, pp. 713-723

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An analog of Szasz's theorem on the absolute convergence of trigonometric Fourier series is established for expansions in the eigen and associated functions of integral operators some of whose kernels involve derivatives with discontinuities on the diagonals.
Keywords: integral operator, trigonometric Fourier series, Fredholm resolvent, Szasz's theorem on absolute convergence, boundary-value problem, modulus of continuity. 
@article{MZM_2007_81_5_a8,
     author = {V. V. Kornev},
     title = {Absolute and {Uniform} {Convergence} of {Eigenfunction} {Expansions} of {Integral} {Operators} with {Kernels} {Admitting} {Derivative} {Discontinuities} on the {Diagonals}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {713--723},
     publisher = {mathdoc},
     volume = {81},
     number = {5},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2007_81_5_a8/}
}
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V. V. Kornev. Absolute and Uniform Convergence of Eigenfunction Expansions of Integral Operators with Kernels Admitting Derivative Discontinuities on the Diagonals. Matematičeskie zametki, Tome 81 (2007) no. 5, pp. 713-723. http://geodesic.mathdoc.fr/item/MZM_2007_81_5_a8/