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Noether theory of unbounded singular integral operators with a Carleman shift

✍ Scribed by V. G. Kravchenko; G. S. Litvinchuk

Publisher
SP MAIK Nauka/Interperiodica
Year
1991
Tongue
English
Weight
310 KB
Volume
49
Category
Article
ISSN
0001-4346

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πŸ“œ 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 πŸ“‚ Article πŸ“… 1995 πŸ› John Wiley and Sons 🌐 English βš– 568 KB

## Abstract A criterion for the Fredholmness of singular integral operators with Carleman shift in __L~P~(Ξ“__) is obtained, where Ξ“ 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. RodrΓ­guez πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 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