Hypermonogenic solutions and plane waves of the Dirac operator in Rp x Rq
Analysis of PDEs
2017-09-19 v1
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.
Keywords
Cite
@article{arxiv.1709.05846,
title = {Hypermonogenic solutions and plane waves of the Dirac operator in Rp x Rq},
author = {Alí Guzmán Adán and Heikki Orelma and Franciscus Sommen},
journal= {arXiv preprint arXiv:1709.05846},
year = {2017}
}