Regularity of the Density of Surface States

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dc.creatorKostrykin, Vadim
dc.creatorSchrader, Robert
dc.date2000-11-11
dc.date.accessioned2026-07-07T04:28:06Z
dc.date.available2026-07-07T04:28:06Z
dc.descriptionWe prove that the integrated density of surface states of continuous or discrete Anderson-type random Schroedinger operators is a measurable locally integrable function rather than a signed measure or a distribution. This generalize our recent results on the existence of the integrated density of surface states in the continuous case and those of A. Chahrour in the discrete case. The proof uses the new $L^p$-bound on the spectral shift function recently obtained by Combes, Hislop, and Nakamura. Also we provide a simple proof of their result on the Hoelder continuity of the integrated density of bulk states.
dc.identifierhttps://arxiv.org/abs/math-ph/0011019
dc.identifierhttp://arxiv.org/abs/math-ph/0011019
dc.identifierJ. Funct. Anal. Vol. 187 (2001), 227 - 246
dc.identifierdoi:10.1006/jfan.2001.3805
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56660
dc.subjectMathematical Physics
dc.subjectSpectral Theory
dc.subject82B44; 60H25
dc.titleRegularity of the Density of Surface States
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