Some connections between clifford analysis and complex analysis

Abstract

In the paper we construct kernels and mono-genic and holomorphic in in order to extend to several dimersions respectively the tranformation given by

and the Fourier-Borel transformation

T belonging to a space of analytic functionals. This leads toconnections between the theory of holomorphic functions of several variables and the theory of monogenic functions. These relationships are used to study the absolute convergence of the multiple Taylor series for monogenic functions.

^∗Research Assistant of the National Fund for Scientific Research (Belgium).

^∗Research Assistant of the National Fund for Scientific Research (Belgium).

Notes

^∗Research Assistant of the National Fund for Scientific Research (Belgium).