Estimates for the convergence rate of spectral decompositions of even-order differential operators

DOI10.1134/S1064562412040369zbMath1258.47062MaRDI QIDQ1761078

I. S. Lomov, A. S. Markov

Publication date: 15 November 2012

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

zbMATH Keywords

equiconvergencespectral propertiesordinary differential operators

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10)

Related Items (1)

Fourier method in a mixed problem for the wave equation on a graph

Cites Work

• On the convergence of biorthogonal series related to odd-order differential operators with nonsmooth coefficients
• Dependence of estimates of the local convergence rate of spectral expansions on the distance from an interior compact set to the boundary
• Convergence of biorthogonal expansions of functions on an interval for higher-order differential operators
• The local convergence of biorthogonal series related to differential operators with nonsmooth coefficients. II

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