基于一种窗口Fourier变换的再生核空间  

Reproducing Kernel Spaces Based on a Type of Windowed Fourier Transform

作　　者：朱生[1] 邓彩霞[1] 朱建立[1] 

机构地区：[1]哈尔滨理工大学应用科学学院,黑龙江哈尔滨150080

出　　处：《哈尔滨理工大学学报》2009年第4期89-91,共3页Journal of Harbin University of Science and Technology

基　　金：黑龙江省教育厅高校骨干教师创新项目(1054G010)

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.In this paper, the Hermite function can be got by Gauss wavelet, we use them as the windowed function in windowed Fourier are a type of reproducing transform, then a family of isomorphic mapping are constructed, such that image spaces kernel spaces. Finally we establish localization operators based on the reproducing kernel spaces.

关 键 词：再生核空间 窗口Fourier变换 局部算子 

分 类 号：O174.22[理学—数学]