- 01-372 A. Kiselev, Y. Last and B. Simon
- Stability of Singular Spectral Types under Decaying Perturbations
(61K, AMS-LaTeX )
Oct 13, 01
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Abstract. We look at invariance of a.e.~boundary condition spectral behavior
under perturbations, $W$, of half-line, continuum or discrete
Schr\"odinger operators. We extend the results of del Rio, Simon,
Stolz from compactly supported $W$'s to suitable short-range $W$.
We also discuss invariance of the local Hausdorff dimension
of spectral measures under such perturbations.