On equiconvergence of spectral expansions of integral operators
type: Item
instance of: scholarly article
title: On equiconvergence of spectral expansions of integral operators
zbMATH Open document ID: 1194.47056
published in: Journal of Mathematical Sciences (New York)
publication date: 2009-11-24T00:00:00Z
review text: The equiconvergence theorem was proved in many works for the Sturm-Liouville operator and an arbitrary operator \[ y^{(n)}+ \sum^{n-2}_{k=0} p_k(x) y^{(k)},\qquad p_k(x)\in L(0,1), \] with arbitrary boundary conditions \[ \sum^{n-1}_{k=0} [a_{ij} y^{(k)}(0)+ b_{jk} y^{(k)}(1)]= 0,\qquad j= 1,2,\dots, n. \] In this paper, the author presents the results obtained by using the Cauchy-Poincaré contour integration method.
reviewed by: Rudolf Kodnár
Mathematics Subject Classification ID: 47G10
Mathematics Subject Classification ID: 47E05
zbMATH DE Number: 5637549
zbMATH Keywords: Fourier expansions
zbMATH Keywords: eigenfunctions
zbMATH Keywords: Cauchy-Poincaré method
zbMATH Keywords: Birkhoff regularity
zbMATH Keywords: Fredholm resolvent
author: A. P. Khromov
MaRDI profile type: Publication
full work available at URL: s10958-007-0270-7
OpenAlex ID: W2072975317
cites work: On equiconvergence of spectral expansions of self-adjoint integral operators
cites work: Inversion of integral operators with kernels discontinuous on the diagonal
cites work: Q5624013
cites work: Regular Boundary Conditions for Ordinary Differential Operators
DOI: 10.1007/S10958-007-0270-7
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description: scientific article; zbMATH DE number 5637549