超解析函数在可求长Jordan闭曲线的Riemann边值问题

Riemann boundary value problems for hyperanalytic function in the rectifiable Jorden closed curve

本文研究超解析函数在非光滑可求长 Jordan 闭曲线上具有非 Hlder系数的 Riemann 边值问题,利用文中构造的超复积分算子,求得了问题的一般解及可解的充分必要条件。

In this paper,the Riemaan boundary value problems with non-Hlder coefficient for hyperanalytic function in the rectifiable Jordan closed curve are considered.By using hypercomplex integral operator,we have not only established an explicit form of the general solution of the Riemann problem, but also found necessary and sufficient conditions for the solvability Δf the above problem.