Stability Estimates for the X-Ray Transform on Simple Asymptotically Hyperbolic Manifolds
Analysis of PDEs
2022-12-14 v1 Differential Geometry
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.
Cite
@article{arxiv.2104.01674,
title = {Stability Estimates for the X-Ray Transform on Simple Asymptotically Hyperbolic Manifolds},
author = {Nikolas Eptaminitakis},
journal= {arXiv preprint arXiv:2104.01674},
year = {2022}
}