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The finite section method for TOEPLITZ operators on the quarter-plane with piecewise continuous symbols

✍ Scribed by Albrecht Böttcher; Bernd Silbermann

Publisher: John Wiley and Sons
Year: 1983
Tongue: English
Weight: 702 KB
Volume: 110
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.19831100120

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✦ Synopsis

During the last fifteen years it has become clear that local principles are a powerful tool in investigating FREDHO LM properties of singular integral operators and TOEPLITZ operators*). We remind here only of the local methods of I. B. SIMONENKO [15], [lG], V. S. PILIDI [12], R. G. DOUGLAS [i] and of that of I. C. GOHBERG and N. J. KRUPNIK [S]. It was A. V. KOSAK, who pointed out that the theory of the finite section method for these operators can also lie founded upon a local principle. His approach was originated by the local principle of

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The Finite Section Method for Two-dimens

The Finite Section Method for Two-dimensional Wiener-Hopf Integral Operators in Lp with Piecewise Continuous Symbols

✍ Albrecht Böttcher 📂 Article 📅 1984 🏛 John Wiley and Sons 🌐 English ⚖ 682 KB

## Q 1. Introduction The singular integral operator S, on the half-line R,, m being the simplest example of a WIENER-HOPF integral operator with piecewise continuous symbol, suggests that there ought to be some reason to consider such operators not only in L2(R+) but also in Lp(R+) (1 < p < 0 0 )