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Holomorphic Cliffordian Product | | Guy Laville
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4 Feb 2005 | | Subject: | Complex Variables MSC-class: 30Gxx, 30G35, 15A66 | math.CV | | Affiliation: | LMNO | | 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. | | Source: | arXiv, math.CV/0502088 | | Services: | Forum | Review | PDF | Favorites | |
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