The Hilbert Boundary Value Problem for 2-Monogenic Functions in the Unit Ball

摘要

Let R_0, n, be the real Clifford algebra generated by vectors e_i for i=1, 2, cdots, n, where e_i^2=-1 and e_ie_j+e_je_i=0 if i neq j, i, j=1, 2, cdots, n. e_0 is the unit element. In this article, the Hilbert Boundary Value Problem for 2-monogenic functions in the unit ball is investigated.