Aspects of Dirac Operators in Analysis
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- Eastwood, M.G. & Ryan, J. Milan j. math. (2007) 75: 91. doi:10.1007/s00032-007-0077-5
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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.