Singularities and laurent expansions in complex clifford analysis

Abstract

In this paper we develop an analysis aszsociated to singularities of functions which are holomorphtic in several complex variables, satisfy generalized Cauchy-Riemann equations, and take values in complex Clifford algebras. In parallel to the general theory we devolp, over complex minkowski space, an analysis of singularties of solutions to maxwell's equations in vacuo. We establish analogues of the classical Laurent theorem, residue theorem, and removable singularity theorem. we conclude the paper by establish generalizations of the Mittag-Leffler Theorem.

A.M.S.:

• Nos.32A
• 30G and 75