PERTURBATION OF WAVELET AND GABOR FRAMES

作     者：Ivana Carrizo Sergio Favier 

作者机构：Instituto de Matemática Aplicada San Luis Universidad Nacional de San LuisInstituto de Matemática Aplicada San Luis Universidad Nacional de San Luis Av.Ejército de Los Andes 950.5700 San LuisArgentinaAv.Ejército de Los Andes 950.5700 San LuisArgentina 

出 版 物：《Analysis in Theory and Applications》 (分析理论与应用（英文刊）)

年 卷 期：2003年第19卷第3期

页      面：238-254页

学科分类：07[理学] 070102[理学-计算数学] 0701[理学-数学] 

基　　金：This work was supported by CONICET and Universidad Nacional de San Luis 

主　　题：Riesz basis Gabor frame wavelet frame perturbation 

摘      要：In this work two aspects of theory of frames are presented: a side necessary condition on irregular wavelet frames is obtained, another perturbation of wavelet and Gabor frames is considered. Specifically, we present the results obtained on frame stability when one disturbs the mother of wavelet frame, or the parameter of dilatation, and in Gabor frames when the generating function or the parameter of translation are perturbed. In all cases we work without demanding compactness of the support, neither on the generating function, nor on its Fourier transform.