摘要
超解析函数是平面2(r+1)个未知函数的一阶椭圆型方程组的解,这类椭圆型方程组的特征值为±i,并且可以写为实数形式:
We investigate the solvability and the solving methods of singular integral equation with hyperanalytic Cauchy kernelwhere α, K are hypercomplex functions in the sense of A. Douglis, φ is the unknown function. We prove that the equation Kφ=f , under certain conditions, is Noetherian. And a direct method to solve Kφ = f whenα and K are the boun dary values of hyperanalytic functions is given.
基金
国家自然科学基金
中山大学高等学术研究中心资助项目.
