Clifford分析中二正则函数的性质及某些Riemann边值问题

The Properties and Certain Riemann Boundary Value Problems of 2-regular Functions in Clifford Analysis

定义了Clifford分析中一类二正则函数,讨论了它的表示、柯西型积分、Plemelj公式及其他性质,同时研究了二正则函数的某些Riemann边值问题,得到了该问题解的具体表示式.

In this paper a class of 2-regular functions in Clifford Analysis is defined. Their representation, Cauchy type intergrals, Plemelj formula and other properties as well as certain Riemann boundary values problems are studied. A concrete formulation of solutions to this problem is obtained.