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2012 Schrödinger operators and the distribution of resonances in sectors
Tanya Christiansen
Anal. PDE 5(5): 961-982 (2012). DOI: 10.2140/apde.2012.5.961

Abstract

The purpose of this paper is to give some refined results about the distribution of resonances in potential scattering. We use techniques and results from one and several complex variables, including properties of functions of completely regular growth. This enables us to find asymptotics for the distribution of resonances in sectors for certain potentials and for certain families of potentials.

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Tanya Christiansen. "Schrödinger operators and the distribution of resonances in sectors." Anal. PDE 5 (5) 961 - 982, 2012. https://doi.org/10.2140/apde.2012.5.961

Information

Received: 22 December 2010; Revised: 13 June 2011; Accepted: 24 October 2011; Published: 2012
First available in Project Euclid: 20 December 2017

zbMATH: 1264.35158
MathSciNet: MR3022847
Digital Object Identifier: 10.2140/apde.2012.5.961

Subjects:
Primary: 35P25, 81U05
Secondary: 47A40

Rights: Copyright © 2012 Mathematical Sciences Publishers

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