On the Range of the Attenuated Ray Transform for Unitary Connections
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 description
to determine the range of the ray transform acting on symmetric tensor
fields.
Main Authors
Format
Articles
Research article
Published
2015
Series
Subjects
Publication in research information system
Publisher
Oxford University Press
The permanent address of the publication
https://urn.fi/URN:NBN:fi:jyu-201508172684Use this for linking
Review status
Peer reviewed
ISSN
1073-7928
DOI
https://doi.org/10.1093/imrn/rnt228
Language
English
Published in
International Mathematics Research Notices
Citation
- Paternain, G. P., Salo, M., & Uhlmann, G. (2015). On the Range of the Attenuated Ray Transform for Unitary Connections. International Mathematics Research Notices, 2015(4), 873-897. https://doi.org/10.1093/imrn/rnt228
License
Copyright© 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.