Cauchy-Kowalevski extensions and monogenic plane waves using spherical monogenics |
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Authors: | N. De Schepper F. Sommen |
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Affiliation: | 116. Department of Mathematical Analysis Faculty of Engineering, Clifford Research Group Ghent University, Galglaan 2, B-9000, Gent, Belgium
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Abstract: | Clifford analysis may be regarded as a direct and elegant generalization to higher dimensions of the theory of holomorphic functions in the complex plane, centred around the notion of monogenic function, i.e. a null solution of the Dirac operator. This paper dealswith axial and biaxialmonogenic functions containing sphericalmonogenics. They are constructed bymeans of two fundamentalmethods of Clifford analysis, namely the Cauchy-Kowalevski extension and monogenic plane waves. |
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