| dc.contributor.author | Ilmavirta, Joonas | |
| dc.date.accessioned | 2016-01-04T07:41:11Z | |
| dc.date.available | 2016-01-04T07:41:11Z | |
| dc.date.issued | 2016 | |
| dc.identifier.citation | Ilmavirta, J. (2016). On Radon transforms on compact Lie groups. <i>Proceedings of the American Mathematical Society</i>, <i>144</i>(2), 681-691. <a href="https://doi.org/10.1090/proc12732" target="_blank">https://doi.org/10.1090/proc12732</a> | |
| dc.identifier.other | CONVID_25384677 | |
| dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/48224 | |
| dc.description.abstract | We show that the Radon transform related to closed
geodesics is injective on a Lie group if and only if the connected
components are not homeomorphic to S
1 nor to S
3
. This is true for
both smooth functions and distributions. The key ingredients of
the proof are finding totally geodesic tori and realizing the Radon
transform as a family of symmetric operators indexed by nontrivial
homomorphisms from S
1
. | |
| dc.language.iso | eng | |
| dc.publisher | American Mathematical Society | |
| dc.relation.ispartofseries | Proceedings of the American Mathematical Society | |
| dc.relation.uri | http://www.ams.org/journals/proc/2016-144-02/S0002-9939-2015-12732-3/ | |
| dc.subject.other | Ray transforms | |
| dc.subject.other | Lie groups | |
| dc.subject.other | Fourier analysis | |
| dc.title | On Radon transforms on compact Lie groups | |
| dc.type | research article | |
| dc.identifier.urn | URN:NBN:fi:jyu-201512224123 | |
| 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 | 2015-12-22T10:15:04Z | |
| dc.type.coar | http://purl.org/coar/resource_type/c_2df8fbb1 | |
| dc.description.reviewstatus | peerReviewed | |
| dc.format.pagerange | 681-691 | |
| dc.relation.issn | 0002-9939 | |
| dc.relation.numberinseries | 2 | |
| dc.relation.volume | 144 | |
| dc.type.version | acceptedVersion | |
| dc.rights.copyright | © 2015 American Mathematical Society. This is a final draft version of an article whose final and definitive form has been published by AMS. Published in this repository with the kind permission of the publisher. | |
| dc.rights.accesslevel | openAccess | fi |
| dc.type.publication | article | |
| dc.subject.yso | inversio-ongelmat | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p27912 | |
| dc.relation.doi | 10.1090/proc12732 | |
| dc.type.okm | A1 | |
