The Additive Cousin Problem and Related Problems for Regular Functions with Parameter Taking Values in a Clifford Algebra.

This article deals with the Runge type approximations problem, the solution of inhomogeneous system and the additive Cousin problem for Clifford-algebra-valued functions f ( x , y ) which are regular with respect to x and real-analytic in y Some main results concerning these three fundamental problems from complex analysis are proved for the class of functions mentioned above. [ABSTRACT FROM AUTHOR]