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dc.contributor.authorIlmavirta, Joonas
dc.contributor.authorMönkkönen, Keijo
dc.date.accessioned2023-03-06T07:05:01Z
dc.date.available2023-03-06T07:05:01Z
dc.date.issued2023
dc.identifier.citationIlmavirta, J., & Mönkkönen, K. (2023). The Geodesic Ray Transform on Spherically Symmetric Reversible Finsler Manifolds. <i>Journal of Geometric Analysis</i>, <i>33</i>(4), Article 137. <a href="https://doi.org/10.1007/s12220-022-01182-w" target="_blank">https://doi.org/10.1007/s12220-022-01182-w</a>
dc.identifier.otherCONVID_177111625
dc.identifier.urihttps://jyx.jyu.fi/handle/123456789/85756
dc.description.abstractWe show that the geodesic ray transform is injective on scalar functions on spherically symmetric reversible Finsler manifolds where the Finsler norm satisfies a Herglotz condition. We use angular Fourier series to reduce the injectivity problem to the invertibility of generalized Abel transforms and by Taylor expansions of geodesics we show that these Abel transforms are injective. Our result has applications in linearized boundary rigidity problem on Finsler manifolds and especially in linearized elastic travel time tomography.en
dc.format.mimetypeapplication/pdf
dc.language.isoeng
dc.publisherSpringer Science and Business Media LLC
dc.relation.ispartofseriesJournal of Geometric Analysis
dc.rightsCC BY 4.0
dc.subject.otherinverse problems
dc.subject.othergeodesic ray transform
dc.subject.otherintegral geometry
dc.titleThe Geodesic Ray Transform on Spherically Symmetric Reversible Finsler Manifolds
dc.typearticle
dc.identifier.urnURN:NBN:fi:jyu-202303062015
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.type.coarhttp://purl.org/coar/resource_type/c_2df8fbb1
dc.description.reviewstatuspeerReviewed
dc.relation.issn1050-6926
dc.relation.numberinseries4
dc.relation.volume33
dc.type.versionpublishedVersion
dc.rights.copyright© The Author(s) 2023
dc.rights.accesslevelopenAccessfi
dc.relation.grantnumber351665
dc.relation.grantnumber351656
dc.relation.grantnumber284715 HY
dc.relation.grantnumber309963
dc.subject.ysoinversio-ongelmat
dc.subject.ysodifferentiaaligeometria
dc.format.contentfulltext
jyx.subject.urihttp://www.yso.fi/onto/yso/p27912
jyx.subject.urihttp://www.yso.fi/onto/yso/p16682
dc.rights.urlhttps://creativecommons.org/licenses/by/4.0/
dc.relation.doi10.1007/s12220-022-01182-w
dc.relation.funderResearch Council of Finlanden
dc.relation.funderResearch Council of Finlanden
dc.relation.funderResearch Council of Finlanden
dc.relation.funderResearch Council of Finlanden
dc.relation.funderSuomen Akatemiafi
dc.relation.funderSuomen Akatemiafi
dc.relation.funderSuomen Akatemiafi
dc.relation.funderSuomen Akatemiafi
jyx.fundingprogramAcademy Research Fellow, AoFen
jyx.fundingprogramResearch costs of Academy Research Fellow, AoFen
jyx.fundingprogramCentre of Excellence, AoFen
jyx.fundingprogramAcademy Project, AoFen
jyx.fundingprogramAkatemiatutkija, SAfi
jyx.fundingprogramAkatemiatutkijan tutkimuskulut, SAfi
jyx.fundingprogramHuippuyksikkörahoitus, SAfi
jyx.fundingprogramAkatemiahanke, SAfi
jyx.fundinginformationJ.I. was supported by Academy of Finland (Grants 332890, 336254, 351665, 351656). K.M. was supported by Academy of Finland (Center of Excellence in Inverse Modeling and Imaging, Grant Numbers 284715 and 309963). We wish to thank the anonymous referee for feedback. Open Access funding provided by University of Jyväskylä (JYU).
dc.type.okmA1


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