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math.SP2021
The semiclassical structure of the scattering matrix for a manifold with infinite cylindrical end
T. J. Christiansen, A. Uribe
We study the microlocal properties of the scattering matrix associated to the semiclassical Schrödinger operator on a Riemannian manifold with an infinite cylindrical…
math.AP2021
Integral representations of isotropic semi-classical functions and applications
Victor Guillemin, Alejandro Uribe, Zuoqin Wang
In \cite{GUW} we introduced a class of "semi-classical functions of isotropic type", starting with a model case and applying Fourier integral operators associated with canonical tr…