A Duduchava--Saginashvili's type theory for Wiener--Hopf plus Hankel operators

DOI10.1016/j.jmaa.2006.08.089zbMath1116.47026OpenAlexW2011967157MaRDI QIDQ879117

A. P. Nolasco, Luis Filipe Pinheiro de Castro

Publication date: 4 May 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.08.089

zbMATH Keywords

Fredholm operatorWiener-Hopf operatorFourier multipliersemi-almost periodic functionFredholm indexWiener-Hopf plus Hankel operator

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) (Semi-) Fredholm operators; index theories (47A53)

Related Items

The generalized Cauchy index of some semi-almost periodic functions, Invertibility criteria for Wiener-Hopf plus Hankel operators with different almost periodic Fourier symbol matrices, Semi-almost periodic Fourier multipliers on rearrangement-invariant spaces with suitable Muckenhoupt weights, Defect numbers of singular integral operators with Carleman shift and almost periodic coefficients, Invertibility of matrix Wiener--Hopf plus Hankel operators with symbols producing a positive numerical range

Cites Work

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• Convolution operators and factorization of almost periodic matrix functions
• Diffraction by a rectangular wedge: Wiener-Hopf-Hankel formulation
• Wiener-Hopf-Hankel operators for some wedge diffraction problems with mixed boundary conditions
• Some results on the invertibility of Wiener-Hopf-Hankel operators
• Toeplitz operators with semialmost periodic symbols
• Regularity properties and generalized inverses of delta-related operators
• On the \(C^*\)-algebra of singular integral operators with Carleman shift on a non-closed arc
• Invertibility theory for Toeplitz plus Hankel operators and singular integral operators with flip.
• On a class of Hankel operators: Fredholm properties and invertibility
• Explicit solution of a Dirichlet-Neumann wedge diffraction problem with a strip
• A direct approach to convolution type operators with symmetry
• Regularity of convolution type operators with PC symbols in Bessel potential spaces over two finite intervals