Reproducing Kernel Spaces Based on a Type of Windowed Fourier Transform

ZHU Sheng; DENG Cai-xia; ZHU Jian-li

Chinese

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Reproducing Kernel Spaces Based on a Type of Windowed Fourier Transform

更新时间：2026-07-10

- Reproducing Kernel Spaces Based on a Type of Windowed Fourier Transform
- Vol. 14, Issue 4, Pages: 89-91(2009)
- 作者机构：
  
  哈尔滨理工大学应用科学学院
- 作者简介：
- 基金信息：
- DOI：
  CLC： O177
- Published：2009
- 稿件说明：
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ZHU Sheng, DENG Cai-xia, ZHU Jian-li. Reproducing Kernel Spaces Based on a Type of Windowed Fourier Transform[J]. 2009, 14(4): 89-91.
DOI：

ZHU Sheng, DENG Cai-xia, ZHU Jian-li. Reproducing Kernel Spaces Based on a Type of Windowed Fourier Transform[J]. 2009, 14(4): 89-91. DOI：

摘要

利用高斯小波和由它生成的Hermite函数为窗口函数

进行窗口Fourier变换

由此构造了一类同构映射

并且所得的像空间是一类再生核空间.最后借助该再生核空间建立了局部算子.

Abstract

In this paper

the Hermite function can be got by Gauss wavelet

we use them as the windowed function in windowed Fourier transform

then a family of isomorphic mapping are constructed

such that image spaces are a type of reproducing kernel spaces.Finally we establish localization operators based on the reproducing kernel spaces.

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