Equiconvergence of expansions in eigenfunctions of Sturm-Liouville operators with distributional potentials in Hölder spaces

DOI10.1134/S0012266112050060zbMath1259.34086MaRDI QIDQ1760438

I. V. Sadovnichaya

Publication date: 14 November 2012

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

zbMATH Keywords

eigenfunctionsSturm-Liouville operatorFourier series

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10)

Related Items (6)

Equiconvergence of spectral decompositions for the Dirac system with potential in Lebesgue spaces ⋮ Estimates of the root functions of a one-dimensional Schrödinger operator with a strong boundary singularity ⋮ The Riesz basis property with brackets for Dirac systems with summable potentials ⋮ Equiconvergence of spectral decompositions for Sturm-Liouville operators: triples of Lebesgue spaces ⋮ Equiconvergence property for spectral expansions related to perturbations of the operator - u(-x) with initial data ⋮ Method of similar operators in spectral analysis of a fourth-order nonself-adjoint operator

Cites Work

• Equiconvergence of the trigonometric Fourier series and the expansion in eigenfunctions of the Sturm-Liouville operator with a distribution potential
• Uniform equiconvergence of a Fourier series in eigenfunctions of the first boundary value problem and of a Fourier trigonometric series.
• Sturm-Liouville operators with singular potentials
• On the eigenvalues of the Sturm-Liouville operator with potentials from Sobolev spaces
• Convergence of biorthogonal expansions of functions on an interval for higher-order differential operators
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