dc.contributor.author Lehtonen, Jere dc.contributor.author Railo, Jesse dc.contributor.author Salo, Mikko dc.date.accessioned 2018-03-22T11:13:26Z dc.date.available 2019-04-01T21:35:43Z dc.date.issued 2018 dc.identifier.citation Lehtonen, J., Railo, J., & Salo, M. (2018). Tensor tomography on Cartan-Hadamard manifolds. Inverse Problems, 34 (4), 044004. doi:10.1088/1361-6420/aaaf85 dc.identifier.other TUTKAID_76833 dc.identifier.uri https://jyx.jyu.fi/handle/123456789/57389 dc.description.abstract We study the geodesic x-ray transform on Cartan–Hadamard manifolds, generalizing the x-ray transforms on Euclidean and hyperbolic spaces that arise in medical and seismic imaging. We prove solenoidal injectivity of this transform acting on functions and tensor fields of any order. The functions are assumed to be exponentially decaying if the sectional curvature is bounded, and polynomially decaying if the sectional curvature decays at infinity. This work extends the results of Lehtonen (2016 arXiv:1612.04800) to dimensions $n \geqslant 3$ and to the case of tensor fields of any order. dc.language.iso eng dc.publisher Institute of Physics dc.relation.ispartofseries Inverse Problems dc.subject.other tensor tomography dc.subject.other Cartan-Hadamard manifolds dc.title Tensor tomography on Cartan-Hadamard manifolds dc.type article dc.identifier.urn URN:NBN:fi:jyu-201803191758 dc.contributor.laitos Matematiikan ja tilastotieteen laitos fi dc.contributor.laitos Department of Mathematics and Statistics en dc.contributor.oppiaine Matematiikka dc.type.uri http://purl.org/eprint/type/JournalArticle dc.date.updated 2018-03-19T13:15:08Z dc.description.reviewstatus peerReviewed dc.format.pagerange 044004 dc.relation.issn 0266-5611 dc.relation.volume 34 dc.type.version acceptedVersion dc.rights.copyright © 2018 IOP Publishing Ltd. This is a final draft version of an article whose final and definitive form has been published by IOP Publishing Ltd. Published in this repository with the kind permission of the publisher. dc.rights.accesslevel openAccess fi dc.relation.doi 10.1088/1361-6420/aaaf85
﻿