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A normalization problem 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
SP Birkhäuser Verlag Basel
Year
1995
Tongue
English
Weight
488 KB
Volume
21
Category
Article
ISSN
0378-620X

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📜 SIMILAR VOLUMES

Fredholm Theory for a Class of Singular
Fredholm Theory for a Class of Singular Integral Operators with Carleman Shift and Unbounded Coefficients
✍ V. G. Kravchenko; A. B. Lebre; G. S. Litvinchuk; F. S. Teixeira 📂 Article 📅 1995 🏛 John Wiley and Sons 🌐 English ⚖ 568 KB

## 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. Application

Factorization of singular integral opera
Factorization of singular integral operators with a Carleman shift via factorization of matrix functions: the anticommutative case
✍ 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