Spectral analysis of indefinite Sturm-Liouville operators

DOI10.1007/s10688-014-0064-xzbMath1325.47083OpenAlexW2056816271WikidataQ62469546 ScholiaQ62469546MaRDI QIDQ2258224

Aleksey S. Kostenko

Publication date: 3 March 2015

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10688-014-0064-x

zbMATH Keywords

critical pointindefinite Sturm-Liouville operatorsimilarity to a self-adjoint operatorsingular differential expressionJ-nonnegative operatorpositively increasing functions

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) General theory of ordinary differential operators (47E05) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Linear operators on spaces with an indefinite metric (47B50) Boundary eigenvalue problems for ordinary differential equations (34B09)

Cites Work

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• Indefinite Sturm-Liouville problems and half-range completeness
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• A review of a Riesz basis property for indefinite Sturm-Liouville problems
• On the spectral functions of the string
• Spectral Asymptotics for Sturm-Liouville Equations
• Tauberian Theory
• Indefinite Sturm-Liouville operators (sgn x)(-d2/dx2+q(x)) with finite-zone potentials

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