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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Additional Information

ISSN
1080-6377
Print ISSN
0002-9327
Pages
pp. 1-22
Launched on MUSE
1999-02-01
Open Access
No
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