Michael Schmied, Robert Sims, and Gerald Teschl
On the Absolutely Continuous Spectrum of Sturm-Liouville Operators with Applications to Radial Quantum Trees
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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.