Invertibility of matrix Wiener--Hopf plus Hankel operators with symbols producing a positive numerical range

DOI10.4171/ZAA/1376zbMath1163.47023OpenAlexW1963933844MaRDI QIDQ998926

Anabela S. Silva, Luis Filipe Pinheiro de Castro

Publication date: 30 January 2009

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

Full work available at URL: http://www.ems-ph.org/journals/show_pdf.php?issn=0232-2064&vol=28&iss=1&rank=8

zbMATH Keywords

Hankel operatoralmost periodic functioninvertibilityWiener-Hopf operator

Mathematics Subject Classification ID

Classical almost periodic functions, mean periodic functions (42A75) Numerical range, numerical radius (47A12) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35)

Related Items (5)

Invertibility characterization of Wiener-Hopf plus Hankel operators on variable exponent Lebesgue spaces via even asymmetric factorization ⋮ Invertibility criteria for Wiener-Hopf plus Hankel operators with different almost periodic Fourier symbol matrices ⋮ Defect numbers of singular integral operators with Carleman shift and almost periodic coefficients ⋮ Mixed boundary value problems of diffraction by a half‐plane with an obstacle perpendicular to the boundary ⋮ New convolutions associated with the Mellin transform and their applications in integral equations

Cites Work

• Convolution operators and factorization of almost periodic matrix functions
• Diffraction by a rectangular wedge: Wiener-Hopf-Hankel formulation
• A Duduchava--Saginashvili's type theory for Wiener--Hopf plus Hankel operators
• Wiener-Hopf operators and generalized analytic functions
• Banach algebras with symbol and singular integral operators. Transl. from the Russian by A. Iacob
• Wiener-Hopf-Hankel operators for some wedge diffraction problems with mixed boundary conditions
• Some results on the invertibility of Wiener-Hopf-Hankel operators
• Regularity properties and generalized inverses of delta-related operators
• 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
• Inversion of matrix convolution type operators with symmetry
• A direct approach to convolution type operators with symmetry
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Invertibility of matrix Wiener--Hopf plus Hankel operators with symbols producing a positive numerical range