On the Absolutely Continuous Spectrum of Sturm-Liouville Operators with Applications to Radial Quantum Trees

Michael Schmied; Robert Sims; Gerald Teschl

doi:10.7153/oam-02-25

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arXiv · 0712.2323

On the Absolutely Continuous Spectrum of Sturm-Liouville Operators with Applications to Radial Quantum Trees

Michael Schmied·Robert Sims·Gerald Teschl

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Abstract

We consider standard subordinacy theory for general Sturm--Liouville operators and give criteria when boundedness of solutions implies that no subordinate solutions exist. As applications, we prove a Weidmann-type result for general Sturm--Liouville operators and investigate the absolutely continuous spectrum of radially symmetric quantum trees.

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BibTeX RIS

Michael Schmied, Robert Sims, Gerald Teschl. 2008-03-12. On the Absolutely Continuous Spectrum of Sturm-Liouville Operators with Applications to Radial Quantum Trees. https://doi.org/10.7153/oam-02-25

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