Factorization in the Wiener algebra of a class of 2\(\times 2\) matrix functions

DOI10.1007/BF01235740zbMath0683.47012MaRDI QIDQ1824839

Amarino B. Lebre

Publication date: 1989

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

zbMATH Keywords

Fredholm operatorsymbolcanonical factorizationfactorization in the Wiener algebra of a 2\(\times 2\) matrix functionfinite rank perturbations of the Wiener-Hopf operators

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) (Semi-) Fredholm operators; index theories (47A53)

Related Items

Generalized factorization for a class of \(n \times n\) matrix functions. - - Partial indices and explicit formulas ⋮ A factorisation procedure for two by two matrix functions on the circle with two rationally independent entries ⋮ Elastodynamical scattering by \(N\) parallel half-planes in \(\mathbb{R}^3\). II: Explicit solutions for \(N=2\) by explicit symbol factorization ⋮ Generalized factorization for a class of non-rational 2\(\times 2\) matrix functions ⋮ Double-knife edge problems with elastic/plastic type screens ⋮ Partial indices of a class of second order matrix-functions ⋮ Generalized factorization for a class of symbols in [pc(Ĺ)^2x2] ⋮ A factorization method for products of holomorphic 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 ⋮ 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
• 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
• A note on the factorization of matrices occurring in Wiener-Hopf problems

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