Reproducing Kernel Spaces Based on a Type of Windowed Fourier Transform
Zhu Jian-li · Harbin Ligong Daxue xuebao · 2009
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.