Sampling Theorem in A Reproducing Kernel Hilbert Space

WAND Xu; DENG Cai -xia; ZHU Jian-li

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Sampling Theorem in A Reproducing Kernel Hilbert Space

更新时间：2026-07-10

- Sampling Theorem in A Reproducing Kernel Hilbert Space
- Vol. 13, Issue 6, Pages: 66-68(2008)
- 作者机构：
  
  [1]哈尔滨理工大学应用科学学院,黑龙江,哈尔滨,150080
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2008
- 稿件说明：
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WAND Xu, DENG Cai -xia, ZHU Jian-li. Sampling Theorem in A Reproducing Kernel Hilbert Space[J]. 2008, 13(6): 66-68.
DOI：

WAND Xu, DENG Cai -xia, ZHU Jian-li. Sampling Theorem in A Reproducing Kernel Hilbert Space[J]. 2008, 13(6): 66-68. DOI：

摘要

摘　　要：首先从线性变换的角度出发，结合再生核Hilbert空间中再生核函数的特殊性质，利用再生核函数建立了再生核Hilbert空间中函数的采样定理，并给出了误差估计，为再生核Hilbert空间中的数值逼近问题提供了理论基础．

Abstract

In this paper

a sampling expansion formula which bases are defined as reproducing kernel function is given by using some special properties of reproducing kernel functions in the Hilbert space at first

then a sampiing formula of reproducing kernel function in Hilbert space are derived by using reproducing kernel functions. Meanwhile estimation of error is given. The results play a fundamental role in the problem of numerical approximation and it also convenient to numerical calculations.

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