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Perturbation Analysis for Stability of Convolution Dominated Infinite Matrices

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【Author】 LI Jin-xiu*, YANG Hui-li College of Science, Donghua University, Shanghai 201620, China

【机构】 College of Science,Donghua University；

【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.更多还原

【Abstract】 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.更多还原

【关键词】 lp-stability； convolution dominated operator； compact perturbation；
【Key words】 lp-stability； convolution dominated operator； compact perturbation；

【基金】 National Natural Science Foundation of China(No.10971023);Fundamental Research Funds for the Central Universities of China

【文献出处】 Journal of Donghua University(English Edition) ,东华大学学报(英文版) , 编辑部邮箱 ,2013年01期

【分类号】O151.21
【下载频次】36

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