Stability Estimates for the X-Ray Transform on Simple Asymptotically Hyperbolic Manifolds

Abstract

We study the normal operator to the geodesic X-ray transform on functions in the setting of simple asymptotically hyperbolic manifolds. We construct a parametrix for the normal operator in the 0-pseudodifferential calculus and use it show a stability estimate.

References in corpus (2)

• The geodesic ray transform on Riemannian surfaces with conjugate points
• Local X-ray Transform on Asymptotically Hyperbolic Manifolds via Projective Compactification

Cited by in corpus (2)

• Elliptic parametrices in the 0-calculus of Mazzeo and Melrose
• The hyperbolic X-ray transform: new range characterizations, mapping properties and functional relations