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Weyl asymptotics for the Laplacian on asymptotically Euclidean spaces
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 121, Number 1, February 1999
- pp. 1-22
- 10.1353/ajm.1999.0009
- Article
- Additional Information
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Abstract
We prove a trace-type formula for the Laplacian on an asymptotically Euclidean space and use this to obtain Weyl asymptotics of the scattering phase. Other results include an explicit calculation of the leading order singularity of the scattering matrix and results on the behavior of the resolvent and scattering matrix near 0.
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