| dc.contributor.author | Ilmavirta, Joonas | |
| dc.contributor.author | Salo, Mikko | |
| dc.date.accessioned | 2016-11-21T12:04:31Z | |
| dc.date.available | 2016-11-21T12:04:31Z | |
| dc.date.issued | 2016 | |
| dc.identifier.citation | Ilmavirta, J., & Salo, M. (2016). Broken ray transform on a Riemann surface with a convex obstacle. <i>Communications in Analysis and Geometry</i>, <i>24</i>(2), 379-408. <a href="https://doi.org/10.4310/CAG.2016.v24.n2.a6" target="_blank">https://doi.org/10.4310/CAG.2016.v24.n2.a6</a> | |
| dc.identifier.other | CONVID_26104519 | |
| dc.identifier.other | TUTKAID_70576 | |
| dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/51942 | |
| dc.description.abstract | We consider the broken ray transform on Riemann surfaces in the presence of an obstacle, following earlier work of Mukhometov. If the surface has nonpositive curvature and the obstacle is strictly convex, we show that a function is determined by its integrals over broken geodesic rays that reflect on the boundary of the obstacle. Our proof is based on a Pestov identity with boundary terms, and it involves Jacobi fields on broken rays.We also discuss applications of the broken ray transform. | |
| dc.language.iso | eng | |
| dc.publisher | International Press | |
| dc.relation.ispartofseries | Communications in Analysis and Geometry | |
| dc.subject.other | tensor tomography | |
| dc.subject.other | boundary | |
| dc.subject.other | dimensions | |
| dc.title | Broken ray transform on a Riemann surface with a convex obstacle | |
| dc.type | article | |
| dc.identifier.urn | URN:NBN:fi:jyu-201611184670 | |
| dc.contributor.laitos | Matematiikan ja tilastotieteen laitos | fi |
| dc.contributor.laitos | Department of Mathematics and Statistics | en |
| dc.contributor.oppiaine | Matematiikka | fi |
| dc.contributor.oppiaine | Mathematics | en |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | |
| dc.date.updated | 2016-11-18T13:15:14Z | |
| dc.type.coar | journal article | |
| dc.description.reviewstatus | peerReviewed | |
| dc.format.pagerange | 379-408 | |
| dc.relation.issn | 1019-8385 | |
| dc.relation.numberinseries | 2 | |
| dc.relation.volume | 24 | |
| dc.type.version | acceptedVersion | |
| dc.rights.copyright | © International Press of Boston. This is a final draft version of an article whose final and definitive form has been published by International Press. Published in this repository with the kind permission of the publisher. | |
| dc.rights.accesslevel | openAccess | fi |
| dc.relation.doi | 10.4310/CAG.2016.v24.n2.a6 | |
