Regularity properties and generalized inverses of delta-related operators

DOI10.4171/ZAA/840zbMath0918.47026OpenAlexW2021606415MaRDI QIDQ1267969

Frank-Olme Speck, Luis Filipe Pinheiro de Castro

Publication date: 14 October 1998

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

Full work available at URL: https://doi.org/10.4171/zaa/840

zbMATH Keywords

generalized inversesgeneralized inversionfactorization theorysingular integral operators with Carleman shiftdelta relationsdelta-related operatorsinvertibility symbolrelations between operator matrices

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Systems of singular linear integral equations (45F15) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) Integral operators (47G10) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items (13)

Explicit solution of a Dirichlet-Neumann wedge diffraction problem with a strip ⋮ Reduction of singular integral operators with flip and their Fredholm property ⋮ A Duduchava--Saginashvili's type theory for Wiener--Hopf plus Hankel operators ⋮ Invertibility criteria for Wiener-Hopf plus Hankel operators with different almost periodic Fourier symbol matrices ⋮ A class of interface problems for the Helmholtz equation in Rn ⋮ On the Reduction of Linear Systems Related to Boundary Value Problems ⋮ Mixed boundary value problems of diffraction by a half‐plane with an obstacle perpendicular to the boundary ⋮ Invertibility of matrix Wiener--Hopf plus Hankel operators with symbols producing a positive numerical range ⋮ From Sommerfeld Diffraction Problems to Operator Factorisation ⋮ Relations between convolution type operators on intervals and on the half-line ⋮ Diffraction from a three-quarter-plane using an abstract Babinet principle ⋮ Diffraction from Polygonal-conical Screens, an Operator Approach ⋮ Wiener-Hopf factorization through an intermediate space

Cites Work

• Diffraction by a rectangular wedge: Wiener-Hopf-Hankel formulation
• Banach algebras with symbol and singular integral operators. Transl. from the Russian by A. Iacob
• Minimal factorization of matrix and operator functions
• Wiener-Hopf-Hankel operators for some wedge diffraction problems with mixed boundary conditions
• Some results on the invertibility of Wiener-Hopf-Hankel operators
• Complementary Schur complements
• On the inversion of higher order Wiener-Hopf operators
• On a class of Hankel operators: Fredholm properties and invertibility
• Least Squares Approximate and Least Norm Solutions of Paired Singular Equations
• Meromorphic Factorization, Partial Index Estimates and Elastodynamic Diffraction Problems¹)
• Some interior and exterior boundary-value problems for the Helmholtz equation in a quadrant
• Two canonical wedge problems for the Helmholtz equation
• Fredholm Theory for a Class of Singular Integral Operators with Carleman Shift and Unbounded Coefficients
• On the Characterization of the Intermediate Space in Generalized Factorizations
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