Analytic Properties of the Conformal Dirac Operator on the Sphere in Clifford Analysis
Complex Variables
2015-05-27 v1
Abstract
In this paper the conformal Dirac operator on the sphere is defined to be operating on the space of square-integrable Clifford algebra-valued functions. The spinorial Laplacian of order d>0 is defined and used to establish Sobolev embedding theorems.
Keywords
Cite
@article{arxiv.1505.06964,
title = {Analytic Properties of the Conformal Dirac Operator on the Sphere in Clifford Analysis},
author = {Brett Pansano},
journal= {arXiv preprint arXiv:1505.06964},
year = {2015}
}