Invertibility of matrix Wiener--Hopf plus Hankel operators with symbols producing a positive numerical range
type: Item
instance of: scholarly article
title: Invertibility of matrix Wiener--Hopf plus Hankel operators with symbols producing a positive numerical range
zbMATH Open document ID: 1163.47023
DOI: 10.4171/ZAA/1376
published in: Zeitschrift für Analysis und ihre Anwendungen
publication date: 2009-01-30T00:00:00Z
full work available at URL: http://www.ems-ph.org/journals/show_pdf.php
review text: The paper investigates the problem of invertibility (two-sided and one-sided) of matrix Wiener--Hopf plus Hankel operators generated by some almost periodic functions. Invertibility conditions are formulated in terms of the mean motion of some almost periodic function defined by the operator under consideration.
reviewed by: Vladimir S. Pilidi
Mathematics Subject Classification ID: 47B35
Mathematics Subject Classification ID: 47A12
Mathematics Subject Classification ID: 42A75
zbMATH DE Number: 5500727
zbMATH Keywords: Wiener-Hopf operator
zbMATH Keywords: Hankel operator
zbMATH Keywords: almost periodic function
zbMATH Keywords: invertibility
author: L. P. Castro
author: A. S. Silva
MaRDI profile type: Publication
cites work: Q3736312
cites work: Convolution operators and factorization of almost periodic matrix functions
cites work: Q3414351
cites work: Q3527412
cites work: Regularity properties and generalized inverses of delta-related operators
cites work: Inversion of matrix convolution type operators with symmetry
cites work: Explicit solution of a Dirichlet-Neumann wedge diffraction problem with a strip
cites work: A direct approach to convolution type operators with symmetry
cites work: Wiener-Hopf operators and generalized analytic functions
cites work: Invertibility theory for Toeplitz plus Hankel operators and singular integral operators with flip.
cites work: Q2723193
cites work: Q4301589
cites work: Banach algebras with symbol and singular integral operators. Transl. from the Russian by A. Iacob
cites work: Some results on the invertibility of Wiener-Hopf-Hankel operators
cites work: Q4527702
cites work: Wiener-Hopf-Hankel operators for some wedge diffraction problems with mixed boundary conditions
cites work: Q3606315
cites work: Q3414355
cites work: A Duduchava--Saginashvili's type theory for Wiener--Hopf plus Hankel operators
cites work: Q3715553
cites work: On a class of Hankel operators: Fredholm properties and invertibility
cites work: Diffraction by a rectangular wedge: Wiener-Hopf-Hankel formulation
OpenAlex ID: W1963933844
description: scientific article; zbMATH DE number 5500727