Approximation methods for a class of discrete Wiener-Hopf equations

• Autorzy: Nowak M. A.
• Języki publikacji: EN

Abstrakty

EN

In this paper, we consider approximation methods for operator equations of the form Au + Bu = ƒ, 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 ƒ 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.

Słowa kluczowe

EN

projection methods; iterative methods; discrete Wiener-Hopf equations; Toeplitz operators

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2009
• Tom: Vol. 29, no. 3
• Strony: 271--288
• Opis fizyczny: Bibliogr. 20 poz., tab.

Twórcy

autor

Nowak M. A.

• AGH University of Science and Technology Faculty of Applied Mathematics al. Mickiewicza 30, 30-059 Kraków, Poland,

Bibliografia

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