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math.AP2021
The relative trace formula in electromagnetic scattering and boundary layer operators
Alexander Strohmaier, Alden Waters
This paper establishes trace-formulae for a class of operators defined in terms of the functional calculus for the Laplace operator on divergence-free vector fields with relative a…
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…