Stability of singular spectral types under decaying pertubations

Alexander Kiselev; Yoram Last; Barry Simon

doi:10.1016/S0022-1236(02)00053-8

Stability of singular spectral types under decaying pertubations

Alexander Kiselev, Yoram Last, Barry Simon^*

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

15 Scopus citations

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 Hausdroff dimension of spectral measures under such pertubations.

Original language	American English
Pages (from-to)	1-27
Number of pages	27
Journal	Journal of Functional Analysis
Volume	198
Issue number	1
DOIs	https://doi.org/10.1016/S0022-1236(02)00053-8
State	Published - 20 Feb 2003

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title = "Stability of singular spectral types under decaying pertubations",

abstract = "We look at invariance of a.e. boundary condition spectral behavior under perturbations, W , of half-line, continuum or discrete Schr{\"o}dinger 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 Hausdroff dimension of spectral measures under such pertubations.",

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AB - 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 Hausdroff dimension of spectral measures under such pertubations.

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DO - 10.1016/S0022-1236(02)00053-8

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Stability of singular spectral types under decaying pertubations

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