Convergence of the spectral expansion in the eigenfunctions of a fourth-order differential operator

DOI10.1134/S0012266119010026zbMath1419.34229OpenAlexW2932751732MaRDI QIDQ2002527

Yanyan Li

Publication date: 12 July 2019

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266119010026

Mathematics Subject Classification ID

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

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• Conditions for the absolute and uniform convergence of the biorthogonal series corresponding to a differential operator
• Uniform convergence of biorthogonal series for the Schrödinger operator with multipoint boundary conditions
• On the eigenvalue distribution and a Bessel property criterion for root functions of a differential operator. I
• Dependence rate of equiconvergence on the module of continuity of potential of the Sturm--Liouville operator
• On Lacunary Trigonometric Series
• Equiconvergence of biorthogonal expansions in root functions of differential operators. II

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