Analytic continuation and resonance-free regions for Sturm-Liouville pote ntials with power decay

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dc.creatorBrown, B. M.
dc.creatorEastham, M. S. P.
dc.date2000-06-08
dc.date.accessioned2026-07-07T04:35:48Z
dc.date.available2026-07-07T04:35:48Z
dc.descriptionWe are concerned with the Sturm-Liouville problem on the half line. We show that when the potential $q$ is subject only to power decay at infinity the $L^2$ solution may be continued into a sector of the so-called un-physical sheet. This gives rise to resonance free regions and the numerical estimation of resonances outside these regions.
dc.identifierhttps://arxiv.org/abs/math/0006064
dc.identifierhttp://arxiv.org/abs/math/0006064
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59378
dc.subjectSpectral Theory
dc.subject34Lxx;34Exx
dc.titleAnalytic continuation and resonance-free regions for Sturm-Liouville pote ntials with power decay
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