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arxiv: 0705.4157 · v2 · pith:LNQC2RHEnew · submitted 2007-05-29 · 🧮 math.CA · math.FA

Riesz bases of root vectors of indefinite Sturm-Liouville problems with eigenparameter dependent boundary conditions. II

classification 🧮 math.CA math.FA
keywords conditionssturm-liouvilleboundarydependenteigenparameterindefiniteproblemriesz
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We consider a regular indefinite Sturm-Liouville problem with two self-adjoint boundary conditions affinely dependent on the eigenparameter. We give sufficient conditions under which the root vectors of this Sturm-Liouville problem can be selected to form a Riesz basis of a corresponding weighted Hilbert space.

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