DENG Cai-xia, ZHU Jian-li, ZHANG Hai-yan. Explicit Construction for Frame in Bergman Space[J]. 2010, 15(2): 55-57.
DOI:
DENG Cai-xia, ZHU Jian-li, ZHANG Hai-yan. Explicit Construction for Frame in Bergman Space[J]. 2010, 15(2): 55-57.DOI:
Explicit Construction for Frame in Bergman Space
摘要
在Bergman空间中
利用该空间的再生核函数
通过Bessel序列和Riesz-Fischer序列给出了框架的显式构造方法
并且具体地得到了框架的上下界
这种方法有利于该空间的数值分析和函数逼近.
Abstract
In this paper
the explicit way of constructing frame is presented by means of Bessel sequence and Riesz-Fischer sequence by use of the reproducing kernel function in Bergman space
furthermore
the upper and lower bounds of the frame are easily obtained
which is useful to numerical analysis and function approximation in Bergman space.