EQUICONVERGENCE THEOREMS FOR INTEGRODIFFERENTIAL AND INTEGRAL OPERATORS

DOI10.1070/SM1982V042N03ABEH002257zbMath0488.45016OpenAlexW2081608366MaRDI QIDQ3949521

Avgoust P. Khromov

Publication date: 1982

Published in: Mathematics of the USSR-Sbornik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm1982v042n03abeh002257

zbMATH Keywords

equiconvergenceeigenfunctionsFourier expansionsintegrodifferential operatorsassociated functionsproperties of Green's functions

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Integral operators (45P05) Convergence and absolute convergence of Fourier and trigonometric series (42A20) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70) Integral, integro-differential, and pseudodifferential operators (47Gxx)

Related Items (7)

Linear differential operator with an involution as a generator of an operator group ⋮ Spectral analysis of a differential operator with an involution ⋮ Equiconvergence Theorem for Integral Operator with Involution ⋮ Inverse problems for first-order integro-differential operators ⋮ The Il’in Spectral Method for Determination of the Properties of the Basis Property and the Uniform Convergence of Biorthogonal Expansions on a Finite Interval ⋮ Finite-dimensional perturbations of integral operators with kernels discontinuous on the diagonals ⋮ Теорема равносходимости для интегрального оператора с кусочно-постоянным ядром

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