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Fredholm Theory for a Class of Singular Integral Operators with Carleman Shift and Unbounded Coefficients

✍ Scribed by V. G. Kravchenko; A. B. Lebre; G. S. Litvinchuk; F. S. Teixeira

Publisher: John Wiley and Sons
Year: 1995
Tongue: English
Weight: 568 KB
Volume: 172
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.19951720115

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✦ Synopsis

Abstract

A criterion for the Fredholmness of singular integral operators with Carleman shift in L~P~(Γ) is obtained, where Γ is either the unit circle or the real line. The approach allows to consider unbounded coefficients in a class related to that of quasicontinuous functions. Applications to Wiener‐Hopf‐Hankel type operators and operators with linear fractional Carleman shift on IR are included.

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✍ V. G. Kravchenko; A. B. Lebre; J. S. Rodríguez 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 235 KB

## Abstract This paper deals with what we call modified singular integral operators. When dealing with (pure) singular integral operators on the unit circle with coefficients belonging to a decomposing algebra of continuous functions it is known that a factorization of the symbol induces a factoriz