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.
出处
《哈尔滨理工大学学报》
CAS
北大核心
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)
关键词
再生核空间
窗口Fourier变换
局部算子
reproducing kernel space
windowed Fourier transform
localization operator
