Linear fractional transformations of Nevanlinna functions associated with a nonnegative operator

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dc.contributor.authorBehrndt, Jussi
dc.contributor.authorHassi, Seppo
dc.contributor.authorde Snoo, Henk
dc.contributor.authorWietsma, Rudi
dc.contributor.authorWinkler, Henrik
dc.contributor.departmentfi=Ei tutkimusalustaa|en=No platform|-
dc.contributor.facultyfi=Tekniikan ja innovaatiojohtamisen yksikkö|en=School of Technology and Innovations|-
dc.contributor.organizationfi=Vaasan yliopisto|en=University of Vaasa|
dc.date.accessioned2020-09-25T08:57:32Z
dc.date.accessioned2025-06-25T12:44:55Z
dc.date.available2020-09-25T08:57:32Z
dc.date.issued2013-04
dc.description.abstractIn the present paper a subclass of scalar Nevanlinna functions is studied, which coincides with the class of Weyl functions associated to a nonnegative symmetric operator of defect one in a Hilbert space. This class consists of all Nevanlinna functions that are holomorphic on (−∞, 0) and all those Nevanlinna functions that have one negative pole a and are injective on (−∞,a)∪(a,0) . These functions are characterized via integral representations and special attention is paid to linear fractional transformations which arise in extension and spectral problems of symmetric and selfadjoint operators.-
dc.description.notificationThis is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License (https://creativecommons.org/licenses/by-nc/2.0), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.-
dc.description.reviewstatusfi=vertaisarvioitu|en=peerReviewed|-
dc.format.bitstreamtrue
dc.format.contentfi=kokoteksti|en=fulltext|-
dc.format.extent32-
dc.format.pagerange331-362-
dc.identifier.olddbid12638
dc.identifier.oldhandle10024/11391
dc.identifier.urihttps://osuva.uwasa.fi/handle/11111/835
dc.identifier.urnURN:NBN:fi-fe2020092575854-
dc.language.isoeng-
dc.publisherBirkhäuser-
dc.relation.doi10.1007/s11785-011-0197-3-
dc.relation.ispartofjournalComplex analysis and operator theory-
dc.relation.issn1661-8262-
dc.relation.issn1661-8254-
dc.relation.issue2-
dc.relation.urlhttps://doi.org/10.1007/s11785-011-0197-3-
dc.relation.volume7-
dc.rightsCC BY-ND 4.0-
dc.source.identifierhttps://osuva.uwasa.fi/handle/10024/11391
dc.subject.olddisciplineMatematiikka-
dc.subject.ysofunctional analysis-
dc.subject.ysomathematics-
dc.subject.ysoHilbert space-
dc.subject.ysofunctions (mathematical methods)-
dc.subject.ysooperators-
dc.subject.ysocomplex-valued functions-
dc.subject.ysoanalytic functions-
dc.subject.ysocomplex analysis-
dc.subject.ysohistory-
dc.subject.ysofractions-
dc.titleLinear fractional transformations of Nevanlinna functions associated with a nonnegative operator-
dc.type.okmfi=A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä|en=A1 Peer-reviewed original journal article|sv=A1 Originalartikel i en vetenskaplig tidskrift|-
dc.type.publicationarticle-
dc.type.versionpublishedVersion-

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