| 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. <i>Inverse Problems</i>, <i>34</i>(4), 044004. <a href="https://doi.org/10.1088/1361-6420/aaaf85" target="_blank">https://doi.org/10.1088/1361-6420/aaaf85</a> | |
| dc.identifier.other | CONVID_27906162 | |
| 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. | en |
| 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 | research 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 | fi |
| dc.contributor.oppiaine | Mathematics | en |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | |
| dc.date.updated | 2018-03-19T13:15:08Z | |
| dc.type.coar | http://purl.org/coar/resource_type/c_2df8fbb1 | |
| dc.description.reviewstatus | peerReviewed | |
| dc.format.pagerange | 044004 | |
| dc.relation.issn | 0266-5611 | |
| dc.relation.numberinseries | 4 | |
| 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.type.publication | article | |
| dc.relation.grantnumber | 284715 HY | |
| dc.relation.grantnumber | 307023 | |
| dc.relation.grantnumber | 307023 | |
| dc.relation.grantnumber | 309963 | |
| dc.relation.projectid | info:eu-repo/grantAgreement/EC/FP7/307023/EU//InvProbGeomPDE | |
| dc.relation.doi | 10.1088/1361-6420/aaaf85 | |
| dc.relation.funder | Suomen Akatemia | fi |
| dc.relation.funder | Euroopan komissio | fi |
| dc.relation.funder | Suomen Akatemia | fi |
| dc.relation.funder | Academy of Finland | en |
| dc.relation.funder | European Commission | en |
| dc.relation.funder | Academy of Finland | en |
| jyx.fundingprogram | Huippuyksikkörahoitus, SA | fi |
| jyx.fundingprogram | EU:n 7. puiteohjelma (FP7) | fi |
| jyx.fundingprogram | Akatemiahanke, SA | fi |
| jyx.fundingprogram | Centre of Excellence, AoF | en |
| jyx.fundingprogram | FP7 (EU's 7th Framework Programme) | en |
| jyx.fundingprogram | Academy Project, AoF | en |
| jyx.fundinginformation | All authors were supported by the Academy of Finland (Finnish Centre of Excellence in Inverse Problems Research, grant numbers 284715 and 309963), and JL and MS were also partly supported by the European Research Council under the European Union's Seventh Framework Programme (FP7/2007–2013) / ERC Starting Grant agreement no 307023. | |
| dc.type.okm | A1 | |
