Generalized factorization forN×NDaniele-Khrapkov matrix functions

DOI10.1002/mma.253zbMath1021.47011OpenAlexW2152531321MaRDI QIDQ2761859

Nenad Manojlović, António F. dos Santos, M. Cristina Câmara

Publication date: 2001

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.253

zbMATH Keywords

matrix factorizationdiffraction theoryDaniele-Khrapkov class

Mathematics Subject Classification ID

Factorization of matrices (15A23) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Motion of a rigid body with a fixed point (70E17) Other generalizations of analytic functions (including abstract-valued functions) (30G30)

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Fredholmness of Toeplitz operators and corona problems

Cites Work

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• Generalized factorization for a class of non-rational 2\(\times 2\) matrix functions
• Factorization of matrix functions and singular integral operators
• Generalized factorization for a class of \(n \times n\) matrix functions. - - Partial indices and explicit formulas
• Generalized factorization for Daniele-Khrapkov matrix functions -- partial indices
• Generalized factorization for Daniele-Khrapkov matrix functions -- explicit formulas
• A factorisation procedure for two by two matrix functions on the circle with two rationally independent entries
• On the Solution of Two Coupled Wiener–Hopf Equations
• Generalised factorisation for a class of Jones form matrix functions
• Factorization in a Banach Algebra and the Gelfand Transform

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