Relative Oscillation Theory for Sturm-Liouville Operators Extended

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dc.creatorKrueger, Helge
dc.creatorTeschl, Gerald
dc.date2007-07-24
dc.date2007-10-25
dc.date.accessioned2026-07-07T09:22:11Z
dc.date.available2026-07-07T09:22:11Z
dc.descriptionWe extend relative oscillation theory to the case of Sturm--Liouville operators $H u = r^{-1}(-(pu')'+q u)$ with different $p$'s. We show that the weighted number of zeros of Wronskians of certain solutions equals the value of Krein's spectral shift function inside essential spectral gaps.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/0707.3451
dc.identifierhttp://arxiv.org/abs/0707.3451
dc.identifierJ. Funct. Anal. 254-6, 1702-1720 (2008)
dc.identifierdoi:10.1016/j.jfa.2007.10.007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/155286
dc.subjectSpectral Theory
dc.subjectMathematical Physics
dc.subject34B24, 34C10 (Primary); 34L15, 34L05 (Secondary)
dc.titleRelative Oscillation Theory for Sturm-Liouville Operators Extended
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