On the equiconvergence rate of trigonometric series expansions and eigenfunction expansions for the Sturm-Liouville operator with a distributional potential

DOI10.1134/S0012266108050091zbMath1277.34117MaRDI QIDQ1000126

I. V. Sadovnichaya

Publication date: 4 February 2009

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

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Convergence and absolute convergence of Fourier and trigonometric series (42A20)

Related Items (4)

On the asymptotics of eigenfunctions of Sturm-Liouville operators with distribution potentials ⋮ Theorems on asymptotics for singular Sturm-Liouville operators with various boundary conditions ⋮ Equiconvergence theorems in Sobolev and Hölder spaces of eigenfunction expansions for Sturm-Liouville operators with singular potentials ⋮ Equiconvergence theorems for singular Sturm-Liouville operators with various boundary conditions

Cites Work

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