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dc.contributor.authorMonard, Francoisen
dc.contributor.authorPaternain, Gabrielen
dc.date.accessioned2017-11-10T15:58:56Z
dc.date.available2017-11-10T15:58:56Z
dc.date.issued2020-07en
dc.identifier.issn1050-6926
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/268504
dc.description.abstractWe derive reconstruction formulas for a family of geodesic ray transforms with connection, defined on simple Riemannian surfaces. Such formulas provide injectivity of such all transforms in a neighbourhood of constant curvature metrics and non-unitary connections with curvature close to zero. If certain Fredholm equations are injective in the absence of connection, then for any smooth enough connection multiplied by a complex parameter, the corresponding transform is injective for all values of that parameter outside a discrete set. Range characterizations are also provided, as well as numerical illustrations.
dc.publisherSpringer
dc.subjectGeodesic X-ray transformen
dc.subjectConnectionen
dc.subjectScattering dataen
dc.titleThe Geodesic X-ray Transform with a GL (n, C)-Connectionen
dc.typeArticle
prism.endingPage2557
prism.issueIdentifier3en
prism.publicationDate2020en
prism.publicationNameJOURNAL OF GEOMETRIC ANALYSISen
prism.startingPage2515
prism.volume30en
dc.identifier.doi10.17863/CAM.13382
dcterms.dateAccepted2017-09-20en
rioxxterms.versionofrecord10.1007/s12220-017-9931-zen
rioxxterms.versionAM*
rioxxterms.licenseref.urihttp://www.rioxx.net/licenses/all-rights-reserveden
rioxxterms.licenseref.startdate2020-07en
dc.identifier.eissn1559-002X
rioxxterms.typeJournal Article/Reviewen
pubs.funder-project-idEPSRC (EP/M023842/1)
rioxxterms.freetoread.startdate2018-10-12


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