实Clifford分析中奇异积分方程的可解性

The Solvability of the Singular Integral Equation in Real Clifford Analysis

借助多元复分析的思想，首先研究实Ｃｌｉｆｆｏｒｄ分析中于特征流形上具有交换因子核的奇异积分的Ｐｏｉｎｃａｒｅ′Ｂｒｅｔｒａｎｄ置换公式．再利用这个公式研究特征流形上具有交换因子核的奇异积分方程．在一定条件下得到了该积分方程的可解性．

According to the idea of complex analysis in several variables,the Poincare′-Bertrand trans formation formula of the singular integral with exchange factor kernel on characteristic manifold in Clifford analysis was considered.Using this formula,the singular integral equation with exchange factor kernel on characteristic manifold was discussed.At last, the solvability of the equation under certain conditions were gotten.