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

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

2007-12-14

arxiv.org/abs/0712.2323v2

Oper. Matrices 2:3, 417-434 (2008)

Mathematics

Spectral Theory

16 pages

Scientific paper

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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