Hypermonogenic solutions and plane waves of the Dirac operator in Rp×Rq
Research output: Contribution to journal › Article › Scientific › peer-review
Details
Original language | English |
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Pages (from-to) | 1-14 |
Number of pages | 14 |
Journal | Applied Mathematics and Computation |
Volume | 346 |
Early online date | 2018 |
DOIs | |
Publication status | Published - 1 Apr 2019 |
Publication type | A1 Journal article-refereed |
Abstract
In this paper we first define hypermonogenic solutions of the Dirac operator in Rp×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.
ASJC Scopus subject areas
Keywords
- Cauchy's formula, Hypermonogenic solution, Plane wave