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Spectral gap asymptotics of one-dimensional Schrödinger operators with singular periodic potentials

Djakov, Plamen Borissov and Mityagin, Boris (2009) Spectral gap asymptotics of one-dimensional Schrödinger operators with singular periodic potentials. In: International Conference on Linear and Non-Linear Theory of Generalized Functions and its Applications, Bedlewo, Poland

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Official URL: http://dx.doi.org/10.1080/10652460802564837

Abstract

By using quasi-derivatives we develop a Fourier method for studying the spectral properties of one-dimensional Schrodinger operators with periodic singular potentials. Our results reveal the close relationship between the smoothness of the potential and spectral gap asymptotics under the a priori assumption [image omitted] This extends and strengthens similar results proved in the classical case [image omitted].

Item Type:Papers in Conference Proceedings
Uncontrolled Keywords:Schrodinger operator; singular periodic potential; spectral gaps
Subjects:Q Science > QA Mathematics > QA299.6-433 Analysis
ID Code:12137
Deposited By:Plamen Borissov Djakov
Deposited On:08 Oct 2009 11:50
Last Modified:25 May 2011 14:09

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