Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Analytic characterizations of Jordan chains by pole cancellation functions of higher order
Stockholm University, Faculty of Science, Department of Mathematics.
2014 (English)In: Journal of Functional Analysis, ISSN 0022-1236, E-ISSN 1096-0783, Vol. 267, no 11, 4499-4518 p.Article in journal (Refereed) Published
Abstract [en]

In this paper the analytic characterization of generalized poles of operator valued generalized Nevanlinna functions (including the length of Jordan chains of the representing relation) is completed. In particular, given a Jordan chain of the representing relation of length l, we show that there exists a pole cancellation function of order at least l, and, moreover, the construction shows that it is of surprisingly simple form.

Place, publisher, year, edition, pages
2014. Vol. 267, no 11, 4499-4518 p.
Keyword [en]
Generalized Nevanlinna functions, Pole cancellation function, Root function, Jordan chain, Pontryagin space
National Category
Mathematics
Identifiers
URN: urn:nbn:se:su:diva-110744DOI: 10.1016/j.jfa.2014.09.025ISI: 000344835300015OAI: oai:DiVA.org:su-110744DiVA: diva2:773240
Note

AuthorCount:2;

Available from: 2014-12-18 Created: 2014-12-17 Last updated: 2017-12-05Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full text

Search in DiVA

By author/editor
Luger, Annemarie
By organisation
Department of Mathematics
In the same journal
Journal of Functional Analysis
Mathematics

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 35 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf