Polynomial almost periodic solutions for a class of Riemann-Hilbert problems with triangular symbols
type: Item
instance of: scholarly article
title: Polynomial almost periodic solutions for a class of Riemann-Hilbert problems with triangular symbols
zbMATH Open document ID: 1116.30025
author: S. T. Naique
author: António F. dos Santos
published in: Journal of Functional Analysis
publication date: 2007-01-09T00:00:00Z
review text: The authors study almost periodic solutions of Riemann--Hilbert problems of the form \(\widehat g(\xi)=ae^{i\alpha\xi}+b+ce^{-i\beta\xi}\), where \(\alpha,\beta\in(0,1)\), \(\alpha+\beta<1\), the number \(\alpha\beta^{-1}\) is irrational, and \(a,b,c\) are nonzero complex numbers. The authors seek a solution in the space of almost periodic functions with spectrum in the group \(\alpha{\mathbb Z}+\beta{\mathbb Z}\).
reviewed by: Vladimir V. Peller
Mathematics Subject Classification ID: 30E25
Mathematics Subject Classification ID: 47A68
Mathematics Subject Classification ID: 42A85
Mathematics Subject Classification ID: 47B35
Mathematics Subject Classification ID: 43A60
zbMATH DE Number: 5083448
zbMATH Keywords: Riemann-Hilbert problem
zbMATH Keywords: almost periodic functions
zbMATH Keywords: convolution on finite intervals
MaRDI profile type: Publication
full work available at URL: j.jfa.2005.12.022
OpenAlex ID: W2010356660
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DOI: 10.1016/J.JFA.2005.12.022
description: scientific article; zbMATH DE number 5083448