On the Range of the Attenuated Ray Transform for Unitary Connections
Published inInternational Mathematics Research Notices
© The Author(s) 2013. This is a final draft version of an article whose final and definitive form has been published by Oxford University Press. Published in this repository with the kind permission of the publisher.
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 description to determine the range of the ray transform acting on symmetric tensor fields.