Perturbation Analysis for Stability of Convolution Dominated Infinite Matrices
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.
引用本文（GB/T 7714）
李晋秀, 杨会丽. Perturbation Analysis for Stability of Convolution Dominated Infinite Matrices[J]. 东华大学学报：英文版, 2013.
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