Equiconvergence theorems in Sobolev and Hölder spaces of eigenfunction expansions for Sturm-Liouville operators with singular potentials

DOI10.1134/S1064562411020128zbMath1252.34096MaRDI QIDQ656274

I. V. Sadovnichaya

Publication date: 17 January 2012

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

zbMATH Keywords

Sobolev spaceequiconvergenceSturm-Liouville operatoreigenfunction expansionHölder space

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Sturm-Liouville theory (34B24) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10)

Related Items (1)

Strict domain monotonicity of the principal eigenvalue and a characterization of lower boundedness for the Friedrichs extension of four-coefficient Sturm–Liouville operators

Cites Work

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• Spectral gaps of Schrödinger operators with periodic singular potentials
• On the equiconvergence rate of trigonometric series expansions and eigenfunction expansions for the Sturm-Liouville operator with a distributional potential
• Convergence of biorthogonal expansions of functions on an interval for higher-order differential operators

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