The Hilbert Boundary Value Problem in the Unit Ball in Clifford Analysis

摘要

Let $R_{0, n}$, be the real Clifford algebra generated by vectors $e_{i}$, $i=1, 2, cdots, n$, where $e_i^{2}=-1$ and $e_{i}e_{j}+e_{j}e_{i}=0$ if $ineq j$, $i, j=1, 2, cdots, n$. $e_{0}$ is the unit element. In this paper, the Hilbert boundary value problem in the unit ball is investigated.