Rates of convergence for the approximation of dual shift-invariant systems in \(\ell^2 (\mathbb{Z})\)

DOI10.1007/BF01257194zbMath0981.42020arXivmath/9901122MaRDI QIDQ1973861

Thomas Strohmer

Publication date: 4 September 2000

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9901122

zbMATH Keywords

rate of convergencetight framesfilter banksframe operatorshift-invariant systemsLaurent operatorsGabor framefinite section methodband matricesblock Toeplitz matrices

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Numerical methods for wavelets (65T60) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Rate of convergence, degree of approximation (41A25)

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