Equiconvergence of expansions in eigenfunctions of integral operators with kernels that can have discontinuities on the diagonals

DOI10.1070/SM2001V192N10ABEH000601zbMath1032.47027MaRDI QIDQ4807227

V. V. Kornev, Avgoust P. Khromov

Publication date: 14 July 2003

Published in: Sbornik: Mathematics (Search for Journal in Brave)

zbMATH Keywords

equiconvergenceintegral operatorsFourier expansionsexpansions in eigenfunctions

Mathematics Subject Classification ID

Integral operators (45P05) Integral operators (47G10)

Related Items (6)

The Riesz bases consisting of eigen and associated functions for a functional differential operator with variable structure ⋮ Equiconvergence Theorem for Integral Operator with Involution ⋮ Some properties of functional-differential operators with involution \(\nu(x)=1-x\) and their applications ⋮ The Steinhaus theorem on equiconvergence for functional-differential operators ⋮ Absolute convergence of eigenfunction expansions of integral operators with kernels admitting discontinuities of derivatives on diagonals ⋮ Operator integration with an involution in the upper limit of integration

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