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math.SP2000
Exponentially decaying eigenvectors for certain almost periodic operators
Norbert Riedel
For certain one-dimensional Schroedinger-type difference operators with a complex potential, a "complete" set of exponentially decaying eigenvectors is shown to exist. "Completenes…
math.SP1993
Absence of Cantor spectrum for a class of Schrödinger operators
Norbert Riedel
It is shown that the complete localization of eigenvectors for the almost Mathieu operator entails the absence of Cantor spectrum for this operator.