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Complex analysis and the Funk transform

Bailey, T; Eastwood, Michael; Gover, A; Mason, L J

Description

The Funk transform is defined by integrating a function on the two-sphere over its great circles. We use complex analysis to invert this transform.

dc.contributor.authorBailey, T
dc.contributor.authorEastwood, Michael
dc.contributor.authorGover, A
dc.contributor.authorMason, L J
dc.date.accessioned2015-12-07T22:15:01Z
dc.identifier.issn0304-9914
dc.identifier.urihttp://hdl.handle.net/1885/17710
dc.description.abstractThe Funk transform is defined by integrating a function on the two-sphere over its great circles. We use complex analysis to invert this transform.
dc.publisherKorean Mathematical Society
dc.sourceJournal of the Korean Mathematical Society
dc.subjectKeywords: Funk; Penrose; Radon; Zoll
dc.titleComplex analysis and the Funk transform
dc.typeJournal article
local.description.notesImported from ARIES
local.identifier.citationvolume40
dc.date.issued2003
local.identifier.absfor010111 - Real and Complex Functions (incl. Several Variables)
local.identifier.ariespublicationu4379881xPUB2
local.type.statusPublished Version
local.contributor.affiliationBailey, T, University of Edinburgh
local.contributor.affiliationEastwood, Michael, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationGover, A, University of Auckland
local.contributor.affiliationMason, L J, Mathematical Institute, Oxford
local.description.embargo2037-12-31
local.bibliographicCitation.issue4
local.bibliographicCitation.startpage577
local.bibliographicCitation.lastpage593
dc.date.updated2015-12-07T07:39:12Z
local.identifier.scopusID2-s2.0-18344387571
CollectionsANU Research Publications

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