Schrodinger operators and the distribution of resonances in sectors

Details Schrodinger operators and the distribution of resonances in sectors Schrodinger operators and the distribution of resonances in sectors

2010-12-16

arxiv.org/abs/1012.3767v2

Mathematics

Spectral Theory

typos corrected; elaboration of some proofs

Scientific paper

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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