H^2[a,b]空间中再生核函数的构造

Constructing Reproducing Kernel Function in H^2[a,b] Space

首先借助Green函数和线性变换基本定理构造出H2[a,b]空间的子空间的再生核函数,然后利用再生核函数的和运算给出H2[a,b]空间中的再生核函数.并得到该空间中的再生核函数特有的性质.

In the paper,firstly,the reproducing kernel function is constructed with the help of Green function and fundamental theorems of linear transforms in subspace of H^2[a,b]space,then the reproducing kernel function is given by making use of sum operate about reproducing kernel function in H^2[a,b]space.And the characteristic properties of the reproducing kernel function of H^2[a,b]space are obtained.