The Geodesic X-ray Transform with a GL (n, C)-Connection
dc.contributor.author | Monard, Francois | en |
dc.contributor.author | Paternain, Gabriel | en |
dc.date.accessioned | 2017-11-10T15:58:56Z | |
dc.date.available | 2017-11-10T15:58:56Z | |
dc.date.issued | 2020-07 | en |
dc.identifier.issn | 1050-6926 | |
dc.identifier.uri | https://www.repository.cam.ac.uk/handle/1810/268504 | |
dc.description.abstract | We 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.publisher | Springer | |
dc.subject | Geodesic X-ray transform | en |
dc.subject | Connection | en |
dc.subject | Scattering data | en |
dc.title | The Geodesic X-ray Transform with a GL (n, C)-Connection | en |
dc.type | Article | |
prism.endingPage | 2557 | |
prism.issueIdentifier | 3 | en |
prism.publicationDate | 2020 | en |
prism.publicationName | JOURNAL OF GEOMETRIC ANALYSIS | en |
prism.startingPage | 2515 | |
prism.volume | 30 | en |
dc.identifier.doi | 10.17863/CAM.13382 | |
dcterms.dateAccepted | 2017-09-20 | en |
rioxxterms.versionofrecord | 10.1007/s12220-017-9931-z | en |
rioxxterms.version | AM | * |
rioxxterms.licenseref.uri | http://www.rioxx.net/licenses/all-rights-reserved | en |
rioxxterms.licenseref.startdate | 2020-07 | en |
dc.identifier.eissn | 1559-002X | |
rioxxterms.type | Journal Article/Review | en |
pubs.funder-project-id | EPSRC (EP/M023842/1) | |
rioxxterms.freetoread.startdate | 2018-10-12 |