Exponentially decaying eigenvectors for certain almost periodic operators

Details Exponentially decaying eigenvectors for certain almost periodic operators Exponentially decaying eigenvectors for certain almost periodic operators

2000-03-29

arxiv.org/abs/math/0003205v1

Mathematics

Spectral Theory

Scientific paper

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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