Some New Results of Clifford Analysis in Higher Dimensions

It is well known, that the theory of monogenic functions is a generalization of the theory of analytic Junctions for one complex variable. In this paper we develop the theory of analytic functions on several Complex Variables for the functions taking values in a Clifford algebra. Some important problems in Complex Analysis on several variables, as Hartogs-extension Theorems, Cousin Problems are considered for a special class of functions taking values in a Clifford algebra.