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 |
|---|---|
| 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