The X-ray transform for a generic family of curves
Differential Geometry
2007-05-23 v1 Analysis of PDEs
Abstract
We study the weighted integral transform on a compact manifold with boundary over a smooth family of curves . We prove generic injectivity and a stability estimate under the condition that the conormal bundle of covers .
Cite
@article{arxiv.math/0702065,
title = {The X-ray transform for a generic family of curves},
author = {Bela Frigyik and Plamen Stefanov and Gunther Uhlmann},
journal= {arXiv preprint arXiv:math/0702065},
year = {2007}
}