Approximation methods for a class of discrete Wiener-Hopf equations
Michał A. Nowak · Opuscula Mathematica · 2009
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 lp (1 ≤ p < ∞) 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.