Clifford分析中调和函数推广的Liouville定理

Generalized Liouville Theorem for Harmonic Function in Clifford Analysis

主要研究取值于泛Clifford代数C(Vn,n)上的调和函数的推广的Liouville定理,利用一些引理和正则函数的推广的Liouville定理,证明并得到了高维空间中调和函数的推广的Liouville定理.

The research mainly studies the generalized Liouville theorem for harmonic functions with value in an universal Clifford algebra.By using some lemma and the generalized Liouville theorem for regular functions,the generalized Liouville theorem for harmonic functions in high dimensional space is obtained.