Wiener-Hopf equations with the transmission property
type: Item
instance of: scholarly article
title: Wiener-Hopf equations with the transmission property
zbMATH Open document ID: 0754.45005
DOI: 10.1007/BF01200327
author: Roland Duduchava
published in: Integral Equations and Operator Theory
publication date: 1992-09-27T00:00:00Z
review text: The author studies the classical Wiener-Hopf integral equation in Hölder spaces, Zygmund spaces, Besov spaces, and in spaces of Bessel potentials with exponential weights on the half-axis. Using factorization theorems for new classes of symbols, he obtains results on Fredholmness, index and smoothness of solutions with respect to those scales of function spaces. This generalizes considerably previous results of the reviewer [Math. Nachr. 146, 271-321 (1990; Zbl 0709.65117)].
Mathematics Subject Classification ID: 45E10
Mathematics Subject Classification ID: 47B35
zbMATH DE Number: 63971
zbMATH Keywords: transmission property
zbMATH Keywords: Wiener-Hopf integral equation
zbMATH Keywords: Hölder spaces
zbMATH Keywords: Zygmund spaces
zbMATH Keywords: Besov spaces
zbMATH Keywords: spaces of Bessel potentials
zbMATH Keywords: exponential weights
zbMATH Keywords: factorization
zbMATH Keywords: symbols
zbMATH Keywords: Fredholmness
zbMATH Keywords: index
zbMATH Keywords: smoothness of solutions
zbMATH Keywords: scales of function spaces
reviewed by: Johannes Elschner
MaRDI profile type: Publication
cites work: Boundary problems for pseudo-differential operators
cites work: Q3866607
cites work: On spline approximation for a class of integral equations. I: Galerkin and collocation methods with piecewise polynomials
cites work: The transmission property.
cites work: Integral equations on a half-line with kernel depending upon the difference of the arguments
cites work: Q5327757
cites work: Q4740221
cites work: Q4169288
cites work: Q3336200
cites work: Q3857279
cites work: CONVOLUTION EQUATIONS IN A HALFSPACE
full work available at URL: https://doi.org/10.1007/bf01200327
OpenAlex ID: W2018599362
description: scientific article; zbMATH DE number 63971