TY - JOUR
T1 - Stability of singular spectral types under decaying pertubations
AU - Kiselev, Alexander
AU - Last, Yoram
AU - Simon, Barry
PY - 2003/2/20
Y1 - 2003/2/20
N2 - 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.
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.
UR - http://www.scopus.com/inward/record.url?scp=0037455848&partnerID=8YFLogxK
U2 - 10.1016/S0022-1236(02)00053-8
DO - 10.1016/S0022-1236(02)00053-8
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AN - SCOPUS:0037455848
SN - 0022-1236
VL - 198
SP - 1
EP - 27
JO - Journal of Functional Analysis
JF - Journal of Functional Analysis
IS - 1
ER -