Perturbation Analysis for Stability of Convolution Dominated Infinite Matrices  

作　　者：李晋秀 杨会丽 

机构地区：[1]College of Science,Donghua University

出　　处：《Journal of Donghua University(English Edition)》2013年第1期54-57,共4页东华大学学报（英文版）

基　　金：National Natural Science Foundation of China(No.10971023);Fundamental Research Funds for the Central Universities of China

摘　　要：Stability of infinite matrices has important applications to spline approximation, wavelets, Gabor time-frequency analysis, etc. In this paper, perturbation analysis for convolution dominated infinite matrices was studied by introducing an idea of lp-stability at infinity. For infinite matrices in the Gohberg-Baskakov-Sjostrand class, a practical criterion for the lp-stability at infinity of convolution dominated infinite matrices on Zd under perturbation of compact operators was given.Stability of infinite matrices has important applications to spline approximation, wavelets, Gabor tlme.frequency analysis, etc. In this paper, perturbation analysis for convolution dominated infinite matrices was studied by introducing an idea of l^p-stability at infinity. For infinite matrices in the Gohberg-Baskakov-Sjostrand class, a practical criterion for the l^p-stability at infinity of convolution dominated infinite matrices on Zd under perturbation of compact operators was given.

关 键 词：lp-stability convolution dominated operator compact perturbation 

分 类 号：O177.2[理学—数学]