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The inverse Radon transform and the fundamental solution of the hyperbolic Dirac equation |
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| Authors: | D.?Eelbode author-information" > author-information__contact u-icon-before" > mailto:deef@cage.rug.ac.be" title=" deef@cage.rug.ac.be" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author,F.?Sommen |
| Affiliation: | (1) Ghent University, Department of Mathematical Analysis, Galglaan 2, B-9000 Ghent, Belgium |
| Abstract: | In this paper the fundamental solution of the Dirac equation in an m-dimensional hyperbolic space is constructed. The Radon transform, allowing a reduction from the original problem in m dimensions to a two-dimensional problem, is essential to this construction. In case of an odd dimension m 3 the hyperbolic fundamental solution is found as a modulated version of the Eulidean one.Research assistant supported by the Fund for Scientific Research-Flanders (F.W.O.Vlaanderen) |
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