Convolution operators on a finite interval with periodic kernel-Fredholm property and invertibility
type: Item
instance of: scholarly article
title: Convolution operators on a finite interval with periodic kernel-Fredholm property and invertibility
zbMATH Open document ID: 0780.47020
DOI: 10.1007/BF01358953
published in: Integral Equations and Operator Theory
publication date: 1993-06-29T00:00:00Z
review text: Finite interval convolution operators with periodic kernel-functions are studied from the point of view of Fredholm properties and invertibility. These operators are associated with Wiener-Hopf operators with matrix- valued symbols defined on a space of functions whose domain is a contour consisting of two parallel straight-lines. For the Fredholm study a Wiener-Hopf operator is considered on a space on a contour composed of two closed curves having a common multiple point. Invertibility of the finite interval operator is studied for a subclass of symbols related to the problem of wave diffraction by a strip grating.
Mathematics Subject Classification ID: 47B35
Mathematics Subject Classification ID: 45E10
Mathematics Subject Classification ID: 47A53
zbMATH DE Number: 222164
zbMATH Keywords: finite interval convolution operators
zbMATH Keywords: Fredholm properties
zbMATH Keywords: invertibility
zbMATH Keywords: Wiener-Hopf operators with matrix-valued symbols
zbMATH Keywords: wave diffraction
author: M. Amélia Bastos
author: António F. dos Santos
reviewed by: Vladimir Rabinovich
MaRDI profile type: Publication
cites work: Convolution equations of the first kind on a finite interval in Sobolev spaces
cites work: Generalized factorization for a class 2×2 matrix functions with rationally-independent entries
cites work: Q4072022
description: scientific article; zbMATH DE number 222164