Bounded Eigenfunctions and Absolutely Continuous Spectra for One-dimensional Schrödinger Operators

@inproceedings{Simon1996BoundedEA,
  title={Bounded Eigenfunctions and Absolutely Continuous Spectra for One-dimensional Schr{\"o}dinger Operators},
  author={Barry Simon},
  year={1996}
}
We provide a short proof of that case of the Gilbert-Pearson theorem that is most often used: That all eigenfunctions bounded implies purely a.c. spectrum. Two appendices illuminate Weidmann's result that potentials of bounded variation have strictly a.c. spectrum on a half-axis. 5 
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