Aspects of Dirac operators in analysis

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dc.contributor.authorEastwood, Michael
dc.contributor.authorRyan, John
dc.date.accessioned2015-12-07T22:27:34Z
dc.date.issued2007
dc.date.updated2015-12-07T09:54:13Z
dc.description.abstractWe give a review of the analysis behind several examples of Dirac-type operators over manifolds arising in Clifford analysis. These include the Atiyah-Singer-Dirac operator acting on sections of a spin bundle over a spin manifold. It also includes several Dirac operators arising over conformally flat spin manifolds including hyperbolic space. Links to classical harmonic analysis are pointed out.
dc.identifier.issn1424-9286
dc.identifier.urihttp://hdl.handle.net/1885/21944
dc.publisherBirkhauser Verlag
dc.sourceMilan Journal of Mathematics
dc.subjectKeywords: Clifford analysis; Conformally flat manifold; Dirac operator; Harmonic analysis; Spin manifold
dc.titleAspects of Dirac operators in analysis
dc.typeJournal article
local.bibliographicCitation.lastpage116
local.bibliographicCitation.startpage91
local.contributor.affiliationEastwood, Michael, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationRyan, John, University of Arkansas
local.contributor.authoruidEastwood, Michael, u4656195
local.description.embargo2037-12-31
local.description.notesImported from ARIES
local.identifier.absfor010111 - Real and Complex Functions (incl. Several Variables)
local.identifier.ariespublicationu4379881xPUB19
local.identifier.citationvolume75
local.identifier.doi10.1007/s00032-007-0077-5
local.identifier.scopusID2-s2.0-38749095517
local.type.statusPublished Version

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