@Article{Nowak2009,
author = "Nowak, Michał A.",
title = "Approximation methods for a class of discrete Wiener-Hopf equations",
journal = "Opuscula Math.",
year = "2009",
volume = "29",
number = "3",
pages = "271--288",
doi = "http://dx.doi.org/10.7494/OpMath.2009.29.3.271",
url = "http://dx.doi.org/10.7494/OpMath.2009.29.3.271",
abstract = "In this paper, we consider approximation methods for operator equations of the form \[Au + Bu = f,\] where \(A\) is a discrete Wiener-Hopf operator on \(l_p\) (\(1 \leq p \lt \infty\)) which symbol has roots on the unit circle with arbitrary multiplicities (not necessary integers). Conditions on perturbation \(B\) and \(f\) are given in order to guarantee the applicability of projection-iterative methods. Effective error estimates, and simultaneously, decaying properties for solutions are obtained in terms of some smooth spaces.",
keywords = "projection methods, iterative methods, discrete Wiener-Hopf equations, Toeplitz operators",
issn = "1232-9274"
}