To the spectral theory of the Bessel operator on finite interval and half-line

The minimal and maximal operators generated by the Bessel differential expression on the finite interval and a half-line are studied. All non-negative self-adjoint extensions of the minimal operator are described. Also we obtain a description of the domain of the Friedrichs extension of the minimal...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Український математичний вісник
Datum:2015
ISSN:1810-3200
Hauptverfasser: Ananieva, A.Yu., Budyika, V.S.
Format: Artikel
Sprache:Englisch
Veröffentlicht: Інститут прикладної математики і механіки НАН України 2015
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/124494
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:To the spectral theory of the Bessel operator on finite interval and half-line / A.Yu. Ananieva, V.S. Budyika // Український математичний вісник. — 2015. — Т. 12, № 2. — С. 160-189. — Бібліогр.: 21 назв. — англ.

Institution

Digital Library of Periodicals of National Academy of Sciences of Ukraine
Beschreibung
Zusammenfassung:The minimal and maximal operators generated by the Bessel differential expression on the finite interval and a half-line are studied. All non-negative self-adjoint extensions of the minimal operator are described. Also we obtain a description of the domain of the Friedrichs extension of the minimal operator in the framework of extension theory of symmetric operators by applying the technique of boundary triplets and the corresponding Weyl functions, and by using the quadratic form method.
ISSN:1810-3200