A failing eigenfunction expansion associated with an indefinite Sturm-Liouville problem

DOI10.1016/J.JMAA.2011.12.040zbMath1248.34131OpenAlexW1980351366MaRDI QIDQ764939

Andreas Fleige

Publication date: 16 March 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.12.040

zbMATH Keywords

Riesz basiseigenfunction expansionLiouville problemindefinite Sturmnon-semibounded sesquilinear form

Mathematics Subject Classification ID

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

Related Items (2)

The Critical Point Infinity Associated with Indefinite Sturm–Liouville Problems ⋮ Positive and negative eigenfunction expansion results for indefinite Sturm-Liouville problems

Cites Work

• Non-semibounded sesquilinear forms and left-indefinite Sturm-Liouville problems
• Counterexamples in indefinite Sturm--Liouville problems
• The Riesz basis property of an indefinite Sturm-Liouville problem with a non-odd weight function
• A review of a Riesz basis property for indefinite Sturm-Liouville problems
• Sesquilinear forms corresponding to a non-semibounded Sturm–Liouville operator
• A Counterexample to Completeness Properties for Indefinite St urm—Liouville Problems
• Sturm–Liouville problems with indefinite weights and Everitt's inequality
• Interpolation zwischen den Klassen 𝔖_p von Operatoren in Hilberträumen
• HELP inequalities for limit-circle and regular problems
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