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On the Range of the Attenuated Ray Transform for Unitary Connections

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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
Published in
International Mathematics Research Notices
Authors
Paternain, Gabriel P. |
Salo, Mikko |
Uhlmann, Gunther
Date
2015
Discipline
MatematiikkaMathematics
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.

 
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.
Publisher
Oxford University Press
ISSN Search the Publication Forum
1073-7928
Keywords
ray transform
DOI
https://doi.org/10.1093/imrn/rnt228
URI

http://urn.fi/URN:NBN:fi:jyu-201508172684

Publication in research information system

https://converis.jyu.fi/converis/portal/detail/Publication/24748505

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