On the equiconvergence of expansions in eigenfunctions of integral operators with kernels that admit discontinuities in the derivatives on the diagonals.
type: Item
instance of: scholarly article
title: On the equiconvergence of expansions in eigenfunctions of integral operators with kernels that admit discontinuities in the derivatives on the diagonals.
zbMATH Open document ID: 1054.47518
author: V. V. Kornev
author: A. P. Khromov
published in: Doklady Mathematics
publication date: 2004-06-15T00:00:00Z
review text: The second author's previous results [see, e.g., Math. USSR, Sb. 42, 331--355 (1982; Zbl 0488.45016)] are generalized to a new class of integral operators whose kernels have derivatives with discontinuities on the lines \(t= x\) and \(t= 1-x\). For a more detailed exposition, see the authors' paper [Sb. Math. 192, 1451--1469 (2001; Zbl 1032.47027)].
reviewed by: Aleksandar Perović
Mathematics Subject Classification ID: 47G10
Mathematics Subject Classification ID: 45P05
zbMATH DE Number: 2074968
zbMATH Keywords: equiconvergence
zbMATH Keywords: expansions in eigenfunctions
zbMATH Keywords: integral operators
zbMATH Keywords: Fourier expansions
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 2074968