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Matematicheskie Zametki, 2007, Volume 81, Issue 5, Pages 713–723
DOI: https://doi.org/10.4213/mzm3715 (Mi mzm3715) 		 
Absolute and Uniform Convergence of Eigenfunction Expansions of Integral Operators with Kernels Admitting Derivative Discontinuities on the Diagonals

V. V. Kornev

Saratov State University named after N. G. Chernyshevsky
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DOI: https://doi.org/10.4213/mzm3715
Abstract: 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.
Received: 18.08.2006
English version:
Mathematical Notes, 2007, Volume 81, Issue 5, Pages 638–648
DOI: https://doi.org/10.1134/S0001434607050094
Bibliographic databases:
UDC: 517.968
Language: Russian
Citation: V. V. Kornev, “Absolute and Uniform Convergence of Eigenfunction Expansions of Integral Operators with Kernels Admitting Derivative Discontinuities on the Diagonals”, Mat. Zametki, 81:5 (2007), 713–723; Math. Notes, 81:5 (2007), 638–648
Citation in format AMSBIB
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