Generalized factorization for a class of symbols in [pc(Ĺ)]2x2

DOI10.1080/00036819008839924zbMath0668.45002OpenAlexW2062304976WikidataQ58260873 ScholiaQ58260873MaRDI QIDQ3821118

F. S. Teixeira

Publication date: 1990

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036819008839924

zbMATH Keywords

Wiener-Hopf factorizationWiener-Hopf operatorsdiffraction theorygeneralized factorizationSommerfeld half-plane problems

Mathematics Subject Classification ID

Diffraction, scattering (78A45) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

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Cites Work

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• The diffraction problem for a half plane with different face impedances revisited
• Factorization in the Wiener algebra of a class of 2\(\times 2\) matrix functions
• On the diffraction problem of a half plane with different face impedances
• Scattering by hard and soft parallel half-planes
• Diffraction by an infinite set of hard and soft parallel half planes
• Diffraction by a half-plane with different face impedances – a re-examination
• The Wiener–Hopf–Hilbert method for diffraction problems
• Recognition of Some Readily “Wiener—Hopf” Factorizable Matrices
• On the Solution of Two Coupled Wiener–Hopf Equations
• Diffraction problems with impedance conditions
• Sommerfeld Diffraction Problems with Third Kind Boundary Conditions II
• The sommerfeld half‐plane problem revisited, II the factoring of a matrix of analytic functions
• The solution of a mixed boundary value problem in the theory of diffraction by a semi-infinite plane
• A note on the factorization of matrices occurring in Wiener-Hopf problems
• Sommerfeld Diffraction Problems with First and Second Kind Boundary Conditions