一类多元整函数空间上再生核函数的存在性

On the Existence of Reproducing Kernel Function on A Class of Several Variables Entire Function Spaces

本文证明了一类多元整函数空间上再生核函数的存在性,说明了这一类空间都是再生核Hilbert空间,为研究这一类空间的性质和这类空间上算子的性质提供了条件.

In this paper, the existence of reproducing kernel function on a class of entire function spaces is proved, which is re- producing kernel Hilbert spaces. The conditions for studying the properties of these spaces and the operators on these spaces is provid- ed.