Eastwood, MichaelRyan, John2015-12-071424-9286http://hdl.handle.net/1885/21944We 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: Clifford analysis; Conformally flat manifold; Dirac operator; Harmonic analysis; Spin manifold200710.1007/s00032-007-0077-52015-12-07