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