Absolute convergence of expansions in eigen- and adjoint functions of an integral operator with a variable limit of integration

DOI10.1070/IM2005V069N04ABEH001655zbMath1089.47037MaRDI QIDQ3372469

V. V. Kornev, Avgoust P. Khromov

Publication date: 21 February 2006

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

zbMATH Keywords

absolute convergencetrigonometric Fourier seriesZygmund criterion

Mathematics Subject Classification ID

Integral operators (45P05) Integral operators (47G10) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Related Items (3)

Absolute and uniform convergence of eigenfunction expansions of integral operators with kernels admitting derivative discontinuities on the diagonals ⋮ Some properties of functional-differential operators with involution \(\nu(x)=1-x\) and their applications ⋮ The equiconvergence of expansions in eigenfunctions and associated functions of an integral operator with involution

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