On a class of Hankel operators: Fredholm properties and invertibility

DOI10.1007/BF01199460zbMath0679.47018MaRDI QIDQ1822744

F. S. Teixeira

Publication date: 1989

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

zbMATH Keywords

diffractionFredholm properties and invertibility of Hankel operatorsWiener-Hopf operator with a matrix valued symbol

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) (Semi-) Fredholm operators; index theories (47A53) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Related Items (6)

Some interior and exterior boundary-value problems for the Helmholtz equation in a quadrant ⋮ A Duduchava--Saginashvili's type theory for Wiener--Hopf plus Hankel operators ⋮ Wiener-Hopf-Hankel operators for some wedge diffraction problems with mixed boundary conditions ⋮ Invertibility of matrix Wiener--Hopf plus Hankel operators with symbols producing a positive numerical range ⋮ Regularity properties and generalized inverses of delta-related operators ⋮ Diffraction by a rectangular wedge: Wiener-Hopf-Hankel formulation

Cites Work

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• A contribution to the theory of singular integral equations with Carleman shift
• Mixed boundary value problems of the type of Sommerfeld's half-plane problem
• Hankel Operators on Hilbert Space
• Sommerfeld Diffraction Problems with First and Second Kind Boundary Conditions

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