Range characterizations and Singular Value Decomposition of the geodesic X-ray transform on disks of constant curvature

Rohit Kumar Mishra, François Monard

For a one-parameter family of simple metrics of constant curvature ($4\kappa$ for $\kappa \in (-1,1)$) on the unit disk $M$, we first make explicit the Pestov-Uhlmann range characterization o…