Hypermonogenic solutions and plane waves of the Dirac operator in Rp×Rq
Research output: Contribution to journal › Article › Scientific › peer-review
|Number of pages||14|
|Journal||Applied Mathematics and Computation|
|Early online date||2018|
|Publication status||Published - 1 Apr 2019|
|Publication type||A1 Journal article-refereed|
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.