Schrödinger operators and the distribution of resonances in sectors

Tanya Christiansen

doi:10.2140/apde.2012.5.961

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Home > Journals > Anal. PDE > Volume 5 > Issue 5 > Article

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

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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