On an analog of the Riesz theorem and the basis property of the system of root functions of a differential operator in Lp: II

On an analog of the Riesz theorem and the basis property of the system of root functions of a differential operator in Lp: II

We consider an ordinary differential operator of arbitrary order, obtain necessary conditions for the Riesz property of systems of normalized root functions, prove an analog of the Riesz theorem, and use it to obtain sufficient conditions for the basis property of the system of root functions of the...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Differential equations 2013-04, Vol.49 (4), p.437-449
1. Verfasser: Kurbanov, V. M.
Format: Artikel
Sprache:eng
Schlagworte:
Difference and Functional Equations
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We consider an ordinary differential operator of arbitrary order, obtain necessary conditions for the Riesz property of systems of normalized root functions, prove an analog of the Riesz theorem, and use it to obtain sufficient conditions for the basis property of the system of root functions of the given operator in L p .
ISSN:0012-2661
1608-3083
DOI:10.1134/S0012266113040046