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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
URN: urn:nbn:se:su:diva-82435DOI: 10.1002/mana.201100301ISI: 000309450400011OAI: diva2:567776


Available from: 2012-11-14 Created: 2012-11-14 Last updated: 2012-11-14Bibliographically approved

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Luger, Annemarie
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