SPECTRAL THEORY FOR SLOWLY OSCILLATING-POTENTIALS .2. SCHRODINGER-OPERATORS

Authors
STOLZ G
Citation
G. Stolz, SPECTRAL THEORY FOR SLOWLY OSCILLATING-POTENTIALS .2. SCHRODINGER-OPERATORS, Mathematische Nachrichten, 183, 1997, pp. 275-294
Citations number
15
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Mathematische Nachrichten → ACNP
ISSN journal
0025584X
Volume
183
Year of publication
1997
Pages
275 - 294
Database
ISI
SICI code
0025-584X(1997)183:<275:STFSO.>2.0.ZU;2-7
Abstract
The absolutely continuous and singular spectrum of one-dimensional Sch rodinger operators with slowly oscillating potentials and perturbed pe riodic potentials is studied, continuing similar investigations for Ja cobi matrices from [14]. Trace class methods are used to locate the si ngular spectrum. The absolutely continuous spectrum is determined by i terated diagonalization of transfer matrices to prove boundedness of e igensolutions.