Geodesic ray transform with matrix weights for piecewise constant functions
| dc.contributor.author | Ilmavirta, Joonas | |
| dc.contributor.author | Railo, Jesse | |
| dc.date.accessioned | 2020-08-03T08:08:13Z | |
| dc.date.available | 2020-08-03T08:08:13Z | |
| dc.date.issued | 2020 | |
| dc.identifier.citation | Ilmavirta, J., & Railo, J. (2020). Geodesic ray transform with matrix weights for piecewise constant functions. <i>Annales Academiae Scientiarum Fennicae-Mathematica</i>, <i>45</i>(2), 1095-1102. <a href="https://doi.org/10.5186/aasfm.2020.4558" target="_blank">https://doi.org/10.5186/aasfm.2020.4558</a> | |
| dc.identifier.other | CONVID_41663955 | |
| dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/71316 | |
| dc.description.abstract | We show injectivity of the geodesic X-ray transform on piecewise constant functions when the transform is weighted by a continuous matrix weight. The manifold is assumed to be compact and nontrapping of any dimension, and in dimension three and higher we assume a foliation condition. We make no assumption regarding conjugate points or differentiability of the weight. This extends recent results for unweighted transforms. | en |
| dc.format.mimetype | application/pdf | |
| dc.language | eng | |
| dc.language.iso | eng | |
| dc.publisher | Suomalainen tiedeakatemia | |
| dc.relation.ispartofseries | Annales Academiae Scientiarum Fennicae-Mathematica | |
| dc.rights | In Copyright | |
| dc.subject.other | geodesic ray transform | |
| dc.subject.other | matrix weight | |
| dc.subject.other | integral geometry | |
| dc.title | Geodesic ray transform with matrix weights for piecewise constant functions | |
| dc.type | article | |
| dc.identifier.urn | URN:NBN:fi:jyu-202008035464 | |
| dc.contributor.laitos | Matematiikan ja tilastotieteen laitos | fi |
| dc.contributor.laitos | Department of Mathematics and Statistics | en |
| dc.contributor.oppiaine | Inversio-ongelmien huippuyksikkö | fi |
| dc.contributor.oppiaine | Matematiikka | fi |
| dc.contributor.oppiaine | Centre of Excellence in Inverse Problems | en |
| dc.contributor.oppiaine | Mathematics | en |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | |
| dc.type.coar | http://purl.org/coar/resource_type/c_2df8fbb1 | |
| dc.description.reviewstatus | peerReviewed | |
| dc.format.pagerange | 1095-1102 | |
| dc.relation.issn | 1239-629X | |
| dc.relation.numberinseries | 2 | |
| dc.relation.volume | 45 | |
| dc.type.version | publishedVersion | |
| dc.rights.copyright | © the Authors & Suomalainen tiedeakatemia, 2020 | |
| dc.rights.accesslevel | openAccess | fi |
| dc.relation.grantnumber | 295853 | |
| dc.relation.grantnumber | 284715 HY | |
| dc.subject.yso | inversio-ongelmat | |
| dc.format.content | fulltext | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p27912 | |
| dc.rights.url | http://rightsstatements.org/page/InC/1.0/?language=en | |
| dc.relation.doi | 10.5186/aasfm.2020.4558 | |
| dc.relation.funder | Research Council of Finland | en |
| dc.relation.funder | Research Council of Finland | en |
| dc.relation.funder | Suomen Akatemia | fi |
| dc.relation.funder | Suomen Akatemia | fi |
| jyx.fundingprogram | Postdoctoral Researcher, AoF | en |
| jyx.fundingprogram | Centre of Excellence, AoF | en |
| jyx.fundingprogram | Tutkijatohtori, SA | fi |
| jyx.fundingprogram | Huippuyksikkörahoitus, SA | fi |
| jyx.fundinginformation | J. I. was supported by the Academy of Finland (decision 295853). J. R. was supported by the Academy of Finland (Centre of Excellence in Inverse Problems Research at the University of Jyväskylä in 2017, Centre of Excellence in Inverse Modelling and Imaging at the University of Helsinki in 2018). | |
| dc.type.okm | A1 |
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