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math.AP2026
The asymptotic structure of forward scattering
Nicholas Lohr, Izak Oltman, Ethan Sussman +1
Perturbed plane waves are fundamental objects in scattering theory on Euclidean space and asymptotically Euclidean spaces. In this paper, we investigate the structure of perturbed…
math.AP2026
Gaussian-weighted normal operators on Euclidean space
Yuzhou Joey Zou
We consider the normal operator of the X-ray transform, weighted with Gaussian weights, in Euclidean space with dimension at least 3. We show the eigenfunctions of the normal opera…
math.AP2024
The hyperbolic X-ray transform: new range characterizations, mapping properties and functional relations
Nikolas Eptaminitakis, François Monard, Yuzhou Zou
We derive new singular value decompositions and range characterizations for the X-ray transform on the Poincaré disk, intertwining relations with distinguished differential operato…