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Exponentially decaying eigenvectors for certain almost periodic operators

Norbert Riedel

math.SParXiv:math/0003205

Abstract

For certain one-dimensional Schroedinger-type difference operators with a complex potential, a "complete" set of exponentially decaying eigenvectors is shown to exist. "Completeness" entails that the parameters involved are obtained through evaluation of analytic functions on a Riemann surface.

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