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On Perturbations of Quasiperiodic Schrödinger Operators

Helge Krüger

Abstract

Using relative oscillation theory and the reducibility result of Eliasson, we study perturbations of quasiperiodic Schrödinger operators. In particular, we derive relative oscillation criteria and eigenvalue asymptotics for critical potentials.

MSC2000: Primary 34C10, 34B24; Secondary 34L20, 34L05
Keywords: Sturm-Liouville operators, oscillation theory, quasi-periodic

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