dc.citation.endPage |
734 |
- |
dc.citation.number |
2 |
- |
dc.citation.startPage |
724 |
- |
dc.citation.title |
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS |
- |
dc.citation.volume |
416 |
- |
dc.contributor.author |
Moon, Sunghwan |
- |
dc.date.accessioned |
2023-12-22T02:36:14Z |
- |
dc.date.available |
2023-12-22T02:36:14Z |
- |
dc.date.created |
2014-03-24 |
- |
dc.date.issued |
2014-08 |
- |
dc.description.abstract |
In recent years, Radon-type transforms that integrate functions over various sets of ellipses/ellipsoids have been considered in synthetic aperture radar, ultrasound reflection tomography, and radio tomography. In this paper, we consider the transform that integrates a given function in Rn over a set of solid ellipses (when n = 2) or solid ellipsoids of rotation (when n ≥ 3) with a fixed eccentricity and foci restricted to a hyperplane. Inversion formulas are obtained for appropriate classes of functions that are even with respect to the hyperplane. Stability estimates and local uniqueness results are also provided. |
- |
dc.identifier.bibliographicCitation |
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, v.416, no.2, pp.724 - 734 |
- |
dc.identifier.doi |
10.1016/j.jmaa.2014.02.058 |
- |
dc.identifier.issn |
0022-247X |
- |
dc.identifier.scopusid |
2-s2.0-84895916987 |
- |
dc.identifier.uri |
https://scholarworks.unist.ac.kr/handle/201301/3868 |
- |
dc.identifier.url |
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84895916987 |
- |
dc.identifier.wosid |
000335368100018 |
- |
dc.language |
영어 |
- |
dc.publisher |
ACADEMIC PRESS INC ELSEVIER SCIENCE |
- |
dc.title |
On the determination of a function from an elliptical Radon transform |
- |
dc.type |
Article |
- |
dc.relation.journalWebOfScienceCategory |
Mathematics, Applied; Mathematics |
- |
dc.relation.journalResearchArea |
Mathematics |
- |
dc.description.journalRegisteredClass |
scie |
- |
dc.description.journalRegisteredClass |
scopus |
- |