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.
@article{0003205,
author = {Riedel, Norbert},
title = {Exponentially decaying eigenvectors for certain almost periodic
operators},
journal = {arXiv},
volume = {2000},
number = {0},
year = {2000},
language = {en},
url = {http://dml.mathdoc.fr/item/0003205}
}
Riedel, Norbert. Exponentially decaying eigenvectors for certain almost periodic
operators. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0003205/