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math.SP2021
The Birman-Krein formula for differential forms and electromagnetic scattering
Alexander Strohmaier, Alden Waters
We consider scattering theory of the Laplace Beltrami operator on differential forms on a Riemannian manifold that is Euclidean near infinity. Allowing for compact boundaries of lo…
math.SP2020
A relative trace formula for obstacle scattering
Florian Hanisch, Alexander Strohmaier, Alden Waters
We consider the case of scattering of several obstacles in for . In this setting the absolutely continuous part of the Laplace operator with Dirichlet…