Tran Quyet Thang


Cousin problem for monogenic functions with parameter in Clifford analysis


Abstract:   The Cousin Problem is important in Theory of holomorphic functions in 
            several complex variables. In this paper we study the Additive Cousin Problem  
            for monogenic functions with parameter (is also called semi-monogenic)  
            taking values in a Clifford algebra, which contain solutions of many important  
            systems of partial differential equations in Theoretical Physics. It is shown that  
            this problem is solvable for polydomains. 
         
Keywords:   Cousin problem, semi-monogenic function.

MS classification:   30G35, 32A30, 35J45, 35N05.