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math.AP2025
Solving the Scattering Problem for Open Wave-Guide Networks, III: Radiation Conditions and Uniqueness
Charles L. Epstein, Rafe Mazzeo
This paper continues the analysis of the scattering problem for a network of open wave-guides started in [arXiv:2302.04353, arXiv:2310.05816]. In this part we present explicit, phy…
math.AP2024
Double b-fibrations and desingularization of the X-ray transform on manifolds with strictly convex boundary
Rafe Mazzeo, François Monard
We study the mapping properties of the X-ray transform and its adjoint on spaces of conormal functions on Riemannian manifolds with strictly convex boundary. After desingularizing…