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Asymptotics for a resonance-counting function for potential scattering on cylinders

T. Christiansen
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Abstract

We study certain resonance-counting functions for potential scattering on infinite cylinders or half-cylinders. Under certain conditions on the potential, we obtain asymptotics of the counting functions, with an explicit formula for the constant appearing in the leading term.

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T. Christiansen. 2003-10-16. Asymptotics for a resonance-counting function for potential scattering on cylinders. https://arxiv.org/abs/math/0310245

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