TY  - JOUR
ID  - Nowak2009
LB  - Nowak2009
AU  - Nowak, Michał A.
TI  - Approximation methods for a class of discrete Wiener-Hopf equations
ST  - Approximation methods for a class of discrete Wiener-Hopf equations
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2009
VL  - 29
IS  - 3
SP  - 271
EP  - 288
DO  - http://dx.doi.org/10.7494/OpMath.2009.29.3.271
UR  - http://dx.doi.org/10.7494/OpMath.2009.29.3.271
AB  - 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.
KW  - projection methods
KW  - iterative methods
KW  - discrete Wiener-Hopf equations
KW  - Toeplitz operators
SN  - 1232-9274
ER  -