Holomorphic Cliffordian Product
Complex Variables
2007-05-23 v1
Abstract
Let R\_{0,n} be the Clifford algebra of the antieuclidean vector space of dimension n. The aim is to built a function theory analogous to the one in the C case. In the latter case, the product of two holomorphic functions is holomorphic, this fact is, of course, of paramount importance. Then it is necessary to define a product for functions in the Clifford context. But, non-commutativity is inconciliable with product of functions. Here we introduce a product which is commutative and we compute some examples explicitely.
Cite
@article{arxiv.math/0502088,
title = {Holomorphic Cliffordian Product},
author = {Guy Laville},
journal= {arXiv preprint arXiv:math/0502088},
year = {2007}
}