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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…
math.DG2024
Local and Global Blow Downs of Transport Twistor Space
Jan Bohr, François Monard, Gabriel P. Paternain
Transport twistor spaces are degenerate complex -dimensional manifolds that complexify transport problems on Riemannian surfaces, appearing, e.g., in geometric inverse probl…