Stability estimates for the X-ray transform on simple asymptotically hyperbolic manifolds

Local X-ray Transform on Asymptotically Hyperbolic Manifolds via Projective Compactification

“…Section 3.2.3). This includes questions of injectivity of the associated X-ray transform and its connection with rigidity questions [GGSU19,EG21], stability estimates [Ept22] and the study of associated non-abelian X-ray transforms [Gre23].…”

“…Formulating stability statements as in [Ept22] begs the question of finding the appropriate Sobolev scales that sharply capture the mapping properties of an X-ray transform. In geometries without conjugate points, where the normal operator (i.e.…”