A substitute for the set of left k-analytic functions is not a right module

作者：Liao; Jianquan

来源：Complex Variables and Elliptic Equations, 2013, 58(7): 963-974.

DOI：10.1080/17476933.2011.613117

• octonions
• k-analytic function
• Cauchy-Kowalewski product

A function fC(k)(; ?) is said to be left k-analytic in if D(k)f=0, where is an open set of (8) and is the Dirac operator in (8). In this article, we obtain the necessary and sufficient condition of Dk-j((D(j)f))=0 for all j{0,1,...,k-1} and all ?. As an application, we give the Cauchy-Kowalewski products of the k-analytic functions and k-analytic functions defined in the whole space R-8.

• 出版日期2013-7-1
• 单位广东第二师范学院