1982•Complex Variables Theory and Application An International JournalRequires access
Complexified clifford analysis
John Ryan
Open publisher page 92 citations
Abstract
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.