Adelaide Research & Scholarship
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https://hdl.handle.net/2440/43259
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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 Responsibility: | 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 www.springerlink.com |
| DOI: | 10.1007/s00032-007-0077-5 |
| Appears in Collections: | Mathematical Sciences publications |
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