Show simple item record

dc.contributor.authorMonard, Francois
dc.contributor.authorPaternain, Gabriel P
dc.date.accessioned2017-11-10T15:58:56Z
dc.date.available2017-11-10T15:58:56Z
dc.date.issued2020
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 Science and Business Media LLC
dc.subjectGeodesic X-ray transform
dc.subjectConnection
dc.subjectScattering data
dc.titleThe Geodesic X-ray Transform with a GL (n, C)-Connection
dc.typeArticle
prism.endingPage2557
prism.issueIdentifier3
prism.publicationDate2020
prism.publicationNameJOURNAL OF GEOMETRIC ANALYSIS
prism.startingPage2515
prism.volume30
dc.identifier.doi10.17863/CAM.13382
dcterms.dateAccepted2017-09-20
rioxxterms.versionofrecord10.1007/s12220-017-9931-z
rioxxterms.versionAM
rioxxterms.licenseref.urihttp://www.rioxx.net/licenses/all-rights-reserved
rioxxterms.licenseref.startdate2020-07
dc.identifier.eissn1559-002X
rioxxterms.typeJournal Article/Review
pubs.funder-project-idEngineering and Physical Sciences Research Council (EP/M023842/1)
cam.issuedOnline2017-10-12
rioxxterms.freetoread.startdate2018-10-12


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record