dc.contributor.author | Paternain, Gabriel P. | |
dc.contributor.author | Salo, Mikko | |
dc.contributor.author | Uhlmann, Gunther | |
dc.date.accessioned | 2023-02-06T13:48:43Z | |
dc.date.available | 2023-02-06T13:48:43Z | |
dc.date.issued | 2023 | |
dc.identifier.citation | Paternain, G. P., Salo, M., & Uhlmann, G. (2023). <i>Geometric Inverse Problems : With Emphasis on Two Dimensions</i>. Cambridge University Press. Cambridge Studies in Advanced Mathematics, 204. <a href="https://doi.org/10.1017/9781009039901" target="_blank">https://doi.org/10.1017/9781009039901</a> | |
dc.identifier.isbn | 978-1-316-51087-2 | |
dc.identifier.other | CONVID_176423627 | |
dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/85367 | |
dc.description.abstract | This up-to-date treatment of recent developments in geometric inverse problems introduces graduate students and researchers to an exciting area of research. With an emphasis on the two-dimensional case, topics covered include geodesic X-ray transforms, boundary rigidity, tensor tomography, attenuated X-ray transforms and the Calderón problem. The presentation is self-contained and begins with the Radon transform and radial sound speeds as motivating examples. The required geometric background is developed in detail in the context of simple manifolds with boundary. An in-depth analysis of various geodesic X-ray transforms is carried out together with related uniqueness, stability, reconstruction and range characterization results. Highlights include a proof of boundary rigidity for simple surfaces as well as scattering rigidity for connections. The concluding chapter discusses current open problems and related topics. The numerous exercises and examples make this book an excellent self-study resource or text for a one-semester course or seminar. | en |
dc.format.extent | 344 | |
dc.format.mimetype | application/pdf | |
dc.language.iso | eng | |
dc.publisher | Cambridge University Press | |
dc.relation.ispartofseries | Cambridge Studies in Advanced Mathematics | |
dc.rights | In Copyright | |
dc.subject.other | mathematics | |
dc.subject.other | abstract analysis | |
dc.subject.other | geometry and topology | |
dc.title | Geometric Inverse Problems : With Emphasis on Two Dimensions | |
dc.type | book | |
dc.identifier.urn | URN:NBN:fi:jyu-202302061647 | |
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 | Inversio-ongelmien huippuyksikkö | fi |
dc.contributor.oppiaine | Mathematics | en |
dc.contributor.oppiaine | Centre of Excellence in Inverse Problems | en |
dc.type.uri | http://purl.org/eprint/type/Book | |
dc.type.coar | http://purl.org/coar/resource_type/c_2f33 | |
dc.description.reviewstatus | peerReviewed | |
dc.relation.issn | 0950-6330 | |
dc.type.version | publishedVersion | |
dc.rights.copyright | © 2022 Gabriel P. Paternain, Mikko Salo, Gunther Uhlmann.
This material has been published by Cambridge University Press & Assessment as Geometric inverse problems, with emphasis on two dimensions https://doi.org/10.1017/9781009039901 This version is free to view and download for personal use only. Not for re-distribution, re-sale or use in derivative works. | |
dc.rights.accesslevel | openAccess | fi |
dc.type.publication | book | |
dc.subject.yso | matematiikka | |
dc.subject.yso | geodesia | |
dc.subject.yso | topologia | |
dc.subject.yso | geometria | |
dc.subject.yso | inversio-ongelmat | |
dc.format.content | fulltext | |
jyx.subject.uri | http://www.yso.fi/onto/yso/p3160 | |
jyx.subject.uri | http://www.yso.fi/onto/yso/p7269 | |
jyx.subject.uri | http://www.yso.fi/onto/yso/p14067 | |
jyx.subject.uri | http://www.yso.fi/onto/yso/p8708 | |
jyx.subject.uri | http://www.yso.fi/onto/yso/p27912 | |
dc.rights.url | http://rightsstatements.org/page/InC/1.0/?language=en | |
dc.relation.doi | 10.1017/9781009039901 | |
dc.type.okm | C1 | |