Dissipative operators generated by the Sturm-Liouville differential expression in the Weyl limit circle case

Citation
E. Bairamov et Am. Krall, Dissipative operators generated by the Sturm-Liouville differential expression in the Weyl limit circle case, J MATH ANAL, 254(1), 2001, pp. 178-190
Citations number
7
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN journal
0022247X → ACNP
Volume
254
Issue
1
Year of publication
2001
Pages
178 - 190
Database
ISI
SICI code
0022-247X(20010201)254:1<178:DOGBTS>2.0.ZU;2-0
Abstract
In this paper, using Livsic's theorem, we investigate the problem of comple teness of the system of eigenfunctions and associated functions of dissipat ive operators generated by the Sturm-Liouville differential expression on t he semi-axis in Weyl's limit-circle case. (C) 2001 Academic Press.