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.