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Aspects of Dirac operators in analysis

Eastwood, Michael; Ryan, John


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.

CollectionsANU Research Publications
Date published: 2007
Type: Journal article
Source: Milan Journal of Mathematics
DOI: 10.1007/s00032-007-0077-5


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