3 papers
math.AP2026
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 operat…
math.DG2026
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…
math.DG2025
A family of non-simple surfaces whose transport twistor spaces admit global blow-down maps
François Monard, Zhengyi Qi
In the literature on X-ray transform and Transport Twistor (TT) spaces, blow-down maps (or maps with holomorphic blow-down structure as defined in [BMP24]) are maps that desingular…