Complex Variables Theory and Application An International Journal · 1982 · 90 citations · 9 references
Riemann-hilbert ProblemClifford AlgebraComplex Clifford AlgebrasGeometric AlgebraFunction TheoryFunctional AnalysisComplex Harmonic FunctionsComplexified Clifford AnalysisComplex GeometryComplex Function Theory
The foundations of a function theory, in several complex variables, over complex Clifford algebras are developed The influence within this theory of complex analysis, in one variable, is demonstrated. A generalized Cauchy integral formula is provided, and complex harmonic functions are used to construct holomorphic functions which satisfy a generalized Cauchy Riemann equation introduced here.
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