Generalized factorization for a class of non-rational 2\(\times 2\) matrix functions

DOI10.1007/BF01732318zbMath0712.15019OpenAlexW2061814596MaRDI QIDQ923672

António F. dos Santos, Amarino B. Lebre

Publication date: 1990

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01732318

zbMATH Keywords

Wiener-Hopf factorizationDaniele-Khrapkov matricesgeneralized factorizationpiecewise continuous matrix functions

Mathematics Subject Classification ID

Factorization of matrices (15A23) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Matrices over function rings in one or more variables (15A54)

Related Items (12)

Generalized factorization for a class of \(n \times n\) matrix functions. - - Partial indices and explicit formulas ⋮ Generalised factorisation for a class of Jones form matrix functions ⋮ Elastodynamical scattering by \(N\) parallel half-planes in \(\mathbb{R}^3\). II: Explicit solutions for \(N=2\) by explicit symbol factorization ⋮ Riemann-Hilbert problems, Toeplitz operators and \({\mathfrak{Q}}\)-classes ⋮ Unnamed Item ⋮ Generalized factorization forN×NDaniele-Khrapkov matrix functions ⋮ Transformation techniques towards the factorization of non-rational 2\({\times}\)2 matrix functions ⋮ Explicit Wiener-Hopf factorization for certain non-rational matrix functions ⋮ Generalized factorization for a class of 2 × 2 matrix functions with non-rational entries ⋮ Wiener-Hopf factorization for a group of exponentials of nilpotent matrices ⋮ Diffraction by a rectangular wedge: Wiener-Hopf-Hankel formulation ⋮ Factorization of singular integral operators with a Carleman shift and spectral problems

Cites Work

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• The diffraction problem for a half plane with different face impedances revisited
• Factorization of matrix functions and singular integral operators
• Factorization in the Wiener algebra of a class of 2\(\times 2\) matrix functions
• Certain cases of the elastic equilibrium of an infinite wedge with a nonsymmetric notch at the vertex, subjected to concentrated forces
• On the Solution of Two Coupled Wiener–Hopf Equations
• Generalized factorization for a class of symbols in [pc(Ĺ)^2x2]
• Sommerfeld Diffraction Problems with First and Second Kind Boundary Conditions

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