Stability of Singular Spectral Types under Decaying Perturbations
Spectral Theory
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
We look at invariance of a.e. boundary condition spectral behavior under perturbations, , of half-line, continuum or discrete Schr\"odinger operators. We extend the results of del Rio, Simon, Stolz from compactly supported 's to suitable short-range . We also discuss invariance of the local Hausdorff dimension of spectral measures under such perturbations.
Cite
@article{arxiv.math/0110139,
title = {Stability of Singular Spectral Types under Decaying Perturbations},
author = {A. Kiselev and Y. Last and B. Simon},
journal= {arXiv preprint arXiv:math/0110139},
year = {2007}
}
Comments
25 pages