dc.contributor.author | Ilmavirta, Joonas | |
dc.contributor.author | Lehtonen, Jere | |
dc.contributor.author | Salo, Mikko | |
dc.date.accessioned | 2019-12-31T06:12:31Z | |
dc.date.available | 2019-12-31T06:12:31Z | |
dc.date.issued | 2020 | |
dc.identifier.citation | Ilmavirta, J., Lehtonen, J., & Salo, M. (2020). Geodesic X-ray tomography for piecewise constant functions on nontrapping manifolds. <i>Mathematical Proceedings of the Cambridge Philosophical Society</i>, <i>168</i>(1), 29-41. <a href="https://doi.org/10.1017/S0305004118000543" target="_blank">https://doi.org/10.1017/S0305004118000543</a> | |
dc.identifier.other | CONVID_28650775 | |
dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/67049 | |
dc.description.abstract | We show that on a two-dimensional compact nontrapping manifold with strictly convex boundary, a piecewise constant function is determined by its integrals over geodesics. In higher dimensions, we obtain a similar result if the manifold satisfies a foliation condition. These theorems are based on iterating a local uniqueness result. Our proofs are elementary. | fi |
dc.format.mimetype | application/pdf | |
dc.language.iso | eng | |
dc.publisher | Cambridge University Press | |
dc.relation.ispartofseries | Mathematical Proceedings of the Cambridge Philosophical Society | |
dc.rights | CC BY-NC-ND 4.0 | |
dc.subject.other | inversio-ongelmat | fi |
dc.subject.other | inverse problems | fi |
dc.title | Geodesic X-ray tomography for piecewise constant functions on nontrapping manifolds | |
dc.type | research article | |
dc.identifier.urn | URN:NBN:fi:jyu-201912275493 | |
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 | 2019-12-27T16:15:28Z | |
dc.type.coar | http://purl.org/coar/resource_type/c_2df8fbb1 | |
dc.description.reviewstatus | peerReviewed | |
dc.format.pagerange | 29-41 | |
dc.relation.issn | 0305-0041 | |
dc.relation.numberinseries | 1 | |
dc.relation.volume | 168 | |
dc.type.version | acceptedVersion | |
dc.rights.copyright | © Cambridge Philosophical Society 2018 | |
dc.rights.accesslevel | openAccess | fi |
dc.type.publication | article | |
dc.subject.yso | inversio-ongelmat | |
dc.format.content | fulltext | |
jyx.subject.uri | http://www.yso.fi/onto/yso/p27912 | |
dc.rights.url | https://creativecommons.org/licenses/by-nc-nd/4.0/ | |
dc.relation.doi | 10.1017/S0305004118000543 | |
dc.type.okm | A1 | |