Finite interval convolution operators with transmission property
type: Item
instance of: scholarly article
title: Finite interval convolution operators with transmission property
zbMATH Open document ID: 1099.47027
published in: Integral Equations and Operator Theory
publication date: 2006-02-07T00:00:00Z
review text: The present paper deals with convolution equations \[ K_a \phi (x)\equiv \phi (x)+\int_0^a k_a (x-y) \phi (y) dy =f(x) \] on a finite real interval in the framework of Bessel potential spaces and Sobolev spaces. The main focus is the corresponding transmission property. In the case of invertibility, the inverse of \(K_a\) is presented in terms of the canonical factorization of the related Fourier symbol matrix function.
Mathematics Subject Classification ID: 47B35
Mathematics Subject Classification ID: 47A05
Mathematics Subject Classification ID: 46E35
Mathematics Subject Classification ID: 45E10
zbMATH DE Number: 5003802
zbMATH Keywords: convolution operator
zbMATH Keywords: transmission property
zbMATH Keywords: Wiener-Hopf operator
zbMATH Keywords: Sobolev spaces
zbMATH Keywords: Bessel potential space
author: L. P. Castro
author: Roland Duduchava
author: Frank-Olme Speck
reviewed by: Boris Rubin
MaRDI profile type: Publication
full work available at URL: s00020-003-1281-5
OpenAlex ID: W2021679702
DOI: 10.1007/S00020-003-1281-5
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description: scientific article; zbMATH DE number 5003802