Stability of singular spectral types under decaying pertubations

Alexander Kiselev, Yoram Last, Barry Simon*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

15 Scopus citations


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 languageAmerican English
Pages (from-to)1-27
Number of pages27
JournalJournal of Functional Analysis
Issue number1
StatePublished - 20 Feb 2003


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