Factorization of Singular Integral Operators with a Carleman Backward Shift: The Vector Case

DOI10.1007/978-3-319-72449-2_12zbMath1476.47016OpenAlexW2888402566MaRDI QIDQ4973492

Juan Sebastián Rodríguez, Amarino B. Lebre

Publication date: 27 November 2019

Published in: Operator Theory, Operator Algebras, and Matrix Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-72449-2_12

zbMATH Keywords

factorizationsingular integral operatorsCarleman shiftsingular integral operators with shiftsbackward linear fractional shift

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) Integral operators (47G10) Integral equations with kernels of Cauchy type (45E05)

Cites Work

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• Generalized Toeplitz plus Hankel operators: kernel structure and defect numbers
• Matrix functions consimilar to the identity and singular integral operators
• Factorization of singular integral operators with a Carleman backward shift: the case of bounded measurable coefficients
• Factorization of measurable matrix functions. Ed. by Georg Heinig. Transl. from the Russian by Bernd Luderer. With a foreword by Bernd Silbermann. (Licensed ed.)
• Factorization of matrix functions and singular integral operators
• Invertibility theory for Toeplitz plus Hankel operators and singular integral operators with flip.
• Factorization of singular integral operators with a Carleman shift via factorization of matrix functions: the anticommutative case

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