07-306 Michael Schmied, Robert Sims, and Gerald Teschl

On the Absolutely Continuous Spectrum of Sturm-Liouville Operators with Applications to Radial Quantum Trees (49K, LaTeX2e) Dec 14, 07

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Abstract. We extend standard subordinacy theory to general Sturm-Liouville operators. Moreover, we 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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