Equiconvergence of the trigonometric Fourier series and the expansion in eigenfunctions of the Sturm-Liouville operator with a distribution potential

DOI10.1134/S0081543808020193zbMath1237.34146MaRDI QIDQ764675

I. V. Sadovnichaya

Publication date: 14 March 2012

Published in: Proceedings of the Steklov Institute of Mathematics (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)

Related Items

Equiconvergence of expansions in eigenfunctions of Sturm-Liouville operators with distributional potentials in Hölder spaces, Classical equiconvergence problem for the Sturm-Liouville operator with a singular potential

Cites Work

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• Sturm-Liouville operators with singular potentials
• Transformation operators for Sturm--Liouville operators with singular potentials
• Equiconvergence of series expansions in terms of trigonometric functions and eigenfunctions of the Sturm-Liouville operator with a distribution potential
• On the eigenvalues of the Sturm-Liouville operator with potentials from Sobolev spaces
• Trace formula for Sturm-Liouville operators with singular potentials