DC Field | Value | Language |
dc.contributor.author | Behncke, Horst | |
dc.contributor.author | Hinton, Don | |
dc.date.accessioned | 2021-12-23T16:13:21Z | - |
dc.date.available | 2021-12-23T16:13:21Z | - |
dc.date.issued | 2020 | |
dc.identifier.issn | 18463886 | |
dc.identifier.uri | https://osnascholar.ub.uni-osnabrueck.de/handle/unios/10531 | - |
dc.description.abstract | We consider a C-Symmetric second order linear differential operator on a half interval or the real line. We determine the spectrum and construct the resolvent and m-function. In addition we analyze the resolvent and m-function near their poles. Under the conditions of Theorem 2.2 we prove the essential spectrum is empty, and the operator has a compact resolvent. Integral conditions on the operator coefficients are given in Theorem 3.4 for the operator to be Hilbert-Schmidt. These conditions are new even in the selfadjoint case. This analysis is based on asymptotic integration. A central role is played by the Titchmarsh-Weyl m-function which is defined by square integrable functions and not by a nesting circle analysis. | |
dc.language.iso | en | |
dc.publisher | ELEMENT | |
dc.relation.ispartof | OPERATORS AND MATRICES | |
dc.subject | C-Symmetric operators | |
dc.subject | EIGENVALUES | |
dc.subject | essential spectrum | |
dc.subject | Green's functions | |
dc.subject | HAMILTONIAN-SYSTEMS | |
dc.subject | m-functions | |
dc.subject | Mathematics | |
dc.subject | non-selfadjoint operators | |
dc.subject | SIMS-WEYL THEORY | |
dc.subject | singular operators | |
dc.subject | SPECTRAL THEORY | |
dc.title | C-SYMMETRIC SECOND ORDER DIFFERENTIAL OPERATORS | |
dc.type | journal article | |
dc.identifier.doi | 10.7153/oam-2020-14-54 | |
dc.identifier.isi | ISI:000617909700006 | |
dc.description.volume | 14 | |
dc.description.issue | 4 | |
dc.description.startpage | 871 | |
dc.description.endpage | 908 | |
dc.publisher.place | R AUSTRIJE 11, 10000 ZAGREB, CROATIA | |
dcterms.isPartOf.abbreviation | Oper. Matrices | |
dcterms.oaStatus | gold | |
crisitem.author.netid | BeHo025 | - |