On the range of the attenuated ray transform for unitary connections
Analysis of PDEs
2013-10-03 v2 Differential Geometry
Abstract
We describe the range of the attenuated ray transform of a unitary connection on a simple surface acting on functions and 1-forms. We use this to determine the range of the ray transform acting on symmetric tensor fields.
Keywords
Cite
@article{arxiv.1302.4880,
title = {On the range of the attenuated ray transform for unitary connections},
author = {Gabriel P. Paternain and Mikko Salo and Gunther Uhlmann},
journal= {arXiv preprint arXiv:1302.4880},
year = {2013}
}
Comments
Revised version, to appear in IMRN