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

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

2003-10-16

arxiv.org/abs/math/0310245v1

Mathematics

Spectral Theory

Scientific paper

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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