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Spectral properties of Sturm-Liouville equations with singular energy-dependent potentials (1212.6671v1)

Published 29 Dec 2012 in math.SP

Abstract: We study spectral properties of energy-dependent Sturm-Liouville equations, introduce the notion of norming constants and establish their interrelation with the spectra. One of the main tools is the linearization of the problem in a suitable Pontryagin space.

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