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
Mark Krein's method of directing functionals and singular potentials
Stockholm University, Faculty of Science, Department of Mathematics.
2012 (English)In: Mathematische Nachrichten, ISSN 0025-584X, E-ISSN 1522-2616, Vol. 285, no 14-15, 1791-1798 p.Article in journal (Refereed) Published
Abstract [en]

It is shown that M. Krein's method of directing functionals can be used to prove the existence of a scalar spectral measure for certain SturmLiouville equations with two singular endpoints. The essential assumption is the existence of a solution of the equation that is square integrable at one singular endpoint and depends analytically on the eigenvalue parameter.

Place, publisher, year, edition, pages
2012. Vol. 285, no 14-15, 1791-1798 p.
Keyword [en]
Directing functional, Sturm-Liouville operator, Bessel, Laguerre, Legendre, singular potential, Fourier transformation, spectral function MSC (2010) 34B24, 34B30, 34L05, 47B25, 47E05
National Category
Mathematics
Identifiers
URN: urn:nbn:se:su:diva-82435DOI: 10.1002/mana.201100301ISI: 000309450400011OAI: oai:DiVA.org:su-82435DiVA: diva2:567776
Note

AuthorCount:3;

Available from: 2012-11-14 Created: 2012-11-14 Last updated: 2017-12-07Bibliographically 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
Mathematische Nachrichten
Mathematics

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 54 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