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.

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