Factorization of a class of matrices generated by Sommerfeld diffraction problems with oblique derivatives

DOI<1185::AID-MMA909>3.0.CO;2-T 10.1002/(SICI)1099-1476(19970925)20:14<1185::AID-MMA909>3.0.CO;2-TzbMath0893.47012OpenAlexW2075622334MaRDI QIDQ4356414

A. Moura Santos, Frank-Olme Speck, Amarino B. Lebre

Publication date: 20 November 1997

Full work available at URL: https://doi.org/10.1002/(sici)1099-1476(19970925)20:14<1185::aid-mma909>3.0.co;2-t

zbMATH Keywords

generalized inverseexplicit factorizationmatrix Wiener-Hopf operatorFourier symbol matrix functionsasymptotic behaviour of the solution at the edge of the screenfactorization through weighted \(L^2\) spacesprefactorization procedureSommerfeld diffraction problems

Mathematics Subject Classification ID

Diffraction, scattering (78A45) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items

Unnamed Item ⋮ Transformation techniques towards the factorization of non-rational 2\({\times}\)2 matrix functions ⋮ From Sommerfeld Diffraction Problems to Operator Factorisation ⋮ Minimal normalization of Wiener-Hopf operators in spaces of Bessel potentials ⋮ Wiener-Hopf factorization through an intermediate space

Cites Work

• Unnamed Item
• The diffraction problem for a half plane with different face impedances revisited
• Sommerfeld Diffraction Problems with Oblique Derivatives
• A factorisation procedure for two by two matrix functions on the circle with two rationally independent entries
• Generalized factorization for a class of symbols in [pc(Ĺ)^2x2]
• Meromorphic Factorization, Partial Index Estimates and Elastodynamic Diffraction Problems¹)
• Sommerfeld Half-plane Problems with Higher Order Boundary Conditions
• A note on the factorization of matrices occurring in Wiener-Hopf problems
• On the Characterization of the Intermediate Space in Generalized Factorizations

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