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dc.contributor.authorIlmavirta, Joonas
dc.contributor.authorRailo, Jesse
dc.date.accessioned2020-08-03T08:08:13Z
dc.date.available2020-08-03T08:08:13Z
dc.date.issued2020
dc.identifier.citationIlmavirta, 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.otherCONVID_41663955
dc.identifier.urihttps://jyx.jyu.fi/handle/123456789/71316
dc.description.abstractWe 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.mimetypeapplication/pdf
dc.languageeng
dc.language.isoeng
dc.publisherSuomalainen tiedeakatemia
dc.relation.ispartofseriesAnnales Academiae Scientiarum Fennicae-Mathematica
dc.rightsIn Copyright
dc.subject.othergeodesic ray transform
dc.subject.othermatrix weight
dc.subject.otherintegral geometry
dc.titleGeodesic ray transform with matrix weights for piecewise constant functions
dc.typearticle
dc.identifier.urnURN:NBN:fi:jyu-202008035464
dc.contributor.laitosMatematiikan ja tilastotieteen laitosfi
dc.contributor.laitosDepartment of Mathematics and Statisticsen
dc.contributor.oppiaineInversio-ongelmien huippuyksikköfi
dc.contributor.oppiaineMatematiikkafi
dc.contributor.oppiaineCentre of Excellence in Inverse Problemsen
dc.contributor.oppiaineMathematicsen
dc.type.urihttp://purl.org/eprint/type/JournalArticle
dc.description.reviewstatuspeerReviewed
dc.format.pagerange1095-1102
dc.relation.issn1239-629X
dc.relation.numberinseries2
dc.relation.volume45
dc.type.versionpublishedVersion
dc.rights.copyright© the Authors & Suomalainen tiedeakatemia, 2020
dc.rights.accesslevelopenAccessfi
dc.relation.grantnumber295853
dc.relation.grantnumber284715 HY
dc.subject.ysoinversio-ongelmat
dc.format.contentfulltext
jyx.subject.urihttp://www.yso.fi/onto/yso/p27912
dc.rights.urlhttp://rightsstatements.org/page/InC/1.0/?language=en
dc.relation.doi10.5186/aasfm.2020.4558
dc.relation.funderSuomen Akatemiafi
dc.relation.funderSuomen Akatemiafi
dc.relation.funderAcademy of Finlanden
dc.relation.funderAcademy of Finlanden
jyx.fundingprogramTutkijatohtori, SAfi
jyx.fundingprogramHuippuyksikkörahoitus, SAfi
jyx.fundingprogramPostdoctoral Researcher, AoFen
jyx.fundingprogramCentre of Excellence, AoFen
jyx.fundinginformationJ. 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).


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