Local Hypercomplex Analyticity

Abstract

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

11 pages, RevTex

References in corpus (1)

• Experimental status of quaternionic quantum mechanics

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