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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.
Mathematics - Complex Variables, symmetric algebra, [MATH.MATH-CV]Mathematics [math]/Complex Variables [math.CV], 30Gxx, 30G35, 15A66, 15A66, 30G35, Clifford algebras, spinors, 30Gxx, Functions of hypercomplex variables and generalized variables, Non-commutative analysis, FOS: Mathematics, product, Clifford algebra, Complex Variables (math.CV), Clifford analysis, holomorphic Cliffordian functions
Mathematics - Complex Variables, symmetric algebra, [MATH.MATH-CV]Mathematics [math]/Complex Variables [math.CV], 30Gxx, 30G35, 15A66, 15A66, 30G35, Clifford algebras, spinors, 30Gxx, Functions of hypercomplex variables and generalized variables, Non-commutative analysis, FOS: Mathematics, product, Clifford algebra, Complex Variables (math.CV), Clifford analysis, holomorphic Cliffordian functions
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