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On the determination of a function from an elliptical Radon transform

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dc.contributor.author Moon, Sunghwan ko
dc.date.available 2014-04-10T02:26:32Z -
dc.date.created 2014-03-24 ko
dc.date.issued 2014-08 ko
dc.identifier.citation JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, v.416, no.2, pp.724 - 734 ko
dc.identifier.issn 0022-247X ko
dc.identifier.uri https://scholarworks.unist.ac.kr/handle/201301/3868 -
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. ko
dc.description.statementofresponsibility close -
dc.language 영어 ko
dc.publisher ACADEMIC PRESS INC ELSEVIER SCIENCE ko
dc.title On the determination of a function from an elliptical Radon transform ko
dc.type ARTICLE ko
dc.identifier.scopusid 2-s2.0-84895916987 ko
dc.identifier.wosid 000335368100018 ko
dc.type.rims ART ko
dc.description.scopustc 0 *
dc.date.scptcdate 2014-07-12 *
dc.identifier.doi 10.1016/j.jmaa.2014.02.058 ko
dc.identifier.url http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84895916987 ko
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