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arxiv: funct-an/9703002 · v1 · submitted 1997-03-06 · funct-an · math.CV· math.FA

Local Hypercomplex Analyticity

classification funct-an math.CVmath.FA
keywords analyticityhypercomplexlocalapproacharisingcomplexconditioncontext
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The notion of analyticity is studied in the context of hypercomplex numbers. A critical review of the problems arising from the conventional approach is given. We describe a local analyticity condition which yields the desired type of hypercomplex solutions. The result is the definition of a generalized complex analyticity to hypercomplex space. 02.10.Tq/Vr, 02.30.-f/Dk, 02.90.+p

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