Necessary and sufficient conditions for the Riesz basis property of the eigen- and associated functions of high-order differential operators on an interval
type: Item
instance of: scholarly article
title: Necessary and sufficient conditions for the Riesz basis property of the eigen- and associated functions of high-order differential operators on an interval
zbMATH Open document ID: 1155.47047
DOI: 10.1134/S1064562408020336
author: B. E. Eshmatov
published in: Doklady Mathematics
publication date: 2008-10-27T00:00:00Z
review text: The author considers formally non-selfadjoint differential operator \[ Lu=u^{(n)}(x)+p_{1}(x)u^{(n-1)}(x)+\cdots +p_{n}(x)u(x),\quad n\geq 2, \] on an arbitrary finite interval \(G\) of the real line. Necessary and sufficient conditions for the Riesz basis property of systems of eigen- and associated functions of \(L\) are established in terms of the Fourier coefficients and the norms of system elements in other spaces.
reviewed by: Bilender P. Allahverdiev
Mathematics Subject Classification ID: 47E05
Mathematics Subject Classification ID: 34L10
Mathematics Subject Classification ID: 34L05
Mathematics Subject Classification ID: 47A75
zbMATH DE Number: 5357850
zbMATH Keywords: high-order differential operators
zbMATH Keywords: eigen- and associated functions
zbMATH Keywords: Riesz basis property
MaRDI profile type: Publication
full work available at URL: s1064562408020336
OpenAlex ID: W2014000677
description: scientific article; zbMATH DE number 5357850