Stability of Singular Spectral Types under Decaying Perturbations

A. Kiselev; Y. Last; B. Simon

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arXiv · math/0110139

Stability of Singular Spectral Types under Decaying Perturbations

A. Kiselev·Y. Last·B. Simon

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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 Schrödinger 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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BibTeX RIS

A. Kiselev, Y. Last, B. Simon. 2001-10-13. Stability of Singular Spectral Types under Decaying Perturbations. https://arxiv.org/abs/math/0110139

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