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Absence of Cantor spectrum for a class of Schr\"odinger operators

Spectral Theory 2008-02-03 v1 Complex Variables

Abstract

It is shown that the complete localization of eigenvectors for the almost Mathieu operator entails the absence of Cantor spectrum for this operator.

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Cite

@article{arxiv.math/9307232,
  title  = {Absence of Cantor spectrum for a class of Schr\"odinger operators},
  author = {Norbert Riedel},
  journal= {arXiv preprint arXiv:math/9307232},
  year   = {2008}
}

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3 pages