Absence of Cantor spectrum for a class of Schrödinger operators

Absence of Cantor spectrum for a class of Schrödinger operators
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by Norbert Riedel PDF

Bull. Amer. Math. Soc. 29 (1993), 85-87 Request permission

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

References

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Analyse semi-classique pour l’équation de Harper

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The spectrum of a class of almost periodic operators

Regularity of the spectrum for the almost Mathieu operator

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