Holomorphic Cliffordian Product

Details Holomorphic Cliffordian Product Holomorphic Cliffordian Product

2005-02-04

arxiv.org/abs/math/0502088v1

Mathematics

Complex Variables

Scientific paper

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.

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