The spectrum of a class of almost periodic operators

For almost Mathieu operators, it is shown that the occurrence of Cantor spectrum and the existence, for every point in the spectrum and suitable phase parameters, of at least one localized eigenfunction which decays exponentially are inconsistent properties.

Bibliographic Details
Published in:International Journal of Mathematics and Mathematical Sciences
Main Author: Norbert Riedel
Format: Article
Language:English
Published: Wiley 2003-01-01
Online Access:http://dx.doi.org/10.1155/S0161171203206268