Invertibility of convolution operators in problems of wave diffraction by a strip with reactance and Dirichlet conditions

DOI10.4171/ZAA/1255zbMath1115.47026OpenAlexW1969516317MaRDI QIDQ2492067

Bo Zhang, Luis Filipe Pinheiro de Castro

Publication date: 6 June 2006

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/1255

zbMATH Keywords

factorizationinvertibilityWiener-Hopf operatorwave diffractionconvolution type operatorsemi-almost periodic matrix functionequivalence after extension

Mathematics Subject Classification ID

Classical almost periodic functions, mean periodic functions (42A75) 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) Applications of operator theory to differential and integral equations (47N20) Dilations, extensions, compressions of linear operators (47A20) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

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