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Type: Journal article
Title: Aspects of Dirac operators in analysis
Author: Eastwood, Michael George
Ryan, J. A.
Citation: Milan Journal of Mathematics, 2007; 75 (1):91-116
Publisher: Birkhaeuser Verlag AG
Issue Date: 2007
ISSN: 1424-9286
School/Discipline: School of Mathematical Sciences
Statement of
Michael G. Eastwood and John Ryan
Abstract: We 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.
Keywords: Dirac operator; Clifford analysis; spin manifold; conformally flat manifold; harmonic analysis
Description: The original publication can be found at
RMID: 0020074995
DOI: 10.1007/s00032-007-0077-5
Appears in Collections:Mathematical Sciences publications

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