Stability of Singular Spectral Types under Decaying Perturbations

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dc.creatorKiselev, A.
dc.creatorLast, Y.
dc.creatorSimon, B.
dc.date2001-10-13
dc.date.accessioned2026-07-07T04:43:48Z
dc.date.available2026-07-07T04:43:48Z
dc.descriptionWe 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.
dc.description25 pages
dc.identifierhttps://arxiv.org/abs/math/0110139
dc.identifierhttp://arxiv.org/abs/math/0110139
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62383
dc.subjectSpectral Theory
dc.subjectMathematical Physics
dc.subject34L40; 81Q10; 34E10
dc.titleStability of Singular Spectral Types under Decaying Perturbations
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