摘要
引进实参数p建立了更为广泛的单位分解和抽象核函数,推广文[3]的Cauchy-Leray公式,并得到了具有逐段光滑边界的有界域上Cauchy-Fantappi埁公式的一种拓广形式,并适当选取其中的实参数和向量函数时,得到至今许多区域上光滑函数和全纯函数种种已有的抽象公式和具体的积分公式.
Introducing the real parametersand p constructing a more extensive unitresolution and an abstract kernel function, we extend the form of Cauchy - Leray formula in [ 3], and obtain an extended form of Cauchy - Fantappib for functions on bounded domains with piecewise smooth boundary. By properly choosing the vector functions and the real parameters, we can obtain a kind of known abstract formula and concrete integral formula for smooth and regular functions in many domains.
出处
《怀化学院学报》
2007年第5期15-18,共4页
Journal of Huaihua University
关键词
积分表示
有界域
单位分解
向量函数
integral representation
bounded domain
unit resolution
the vector functions
