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arXiv · 1709.05846

Hypermonogenic solutions and plane waves of the Dirac operator in Rp x Rq

Alí Guzmán Adán·Heikki Orelma·Franciscus Sommen
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Abstract

In this paper we first define hypermonogenic solutions of the Dirac operator in Rp x Rq and study some basic properties, e.g., obtaining a Cauchy integral formula in the unit hemisphere. Hypermonogenic solutions form a natural function class in classical Clifford analysis. After that, we define the corresponding hypermonogenic plane wave solutions and deduce explicit methods to compute these functions.

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Alí Guzmán Adán, Heikki Orelma, Franciscus Sommen. 2017-09-18. Hypermonogenic solutions and plane waves of the Dirac operator in Rp x Rq. https://arxiv.org/abs/1709.05846

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