Discrete spectrum in a critical coupling case of Jacobi matrices with spectral phase transitions by uniform asymptotic analysis

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dc.creatorNaboko, Serguei
dc.creatorPchelintseva, Irina
dc.creatorSilva, Luis O.
dc.date2008-03-22
dc.date.accessioned2026-07-07T09:28:02Z
dc.date.available2026-07-07T09:28:02Z
dc.descriptionFor a two-parameter family of Jacobi matrices exhibiting first-order spectral phase transitions, we prove discreteness of the spectrum in the positive real axis when the parameters are in one of the transition boundaries. To this end we develop a method for obtaining uniform asymptotics, with respect to the spectral parameter, of the generalized eigenvectors. Our technique can be applied to a wide range of Jacobi matrices.
dc.description27 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/0803.3288
dc.identifierhttp://arxiv.org/abs/0803.3288
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/157311
dc.subjectMathematical Physics
dc.subject47B36; 47A25; 39A11; 39A12
dc.titleDiscrete spectrum in a critical coupling case of Jacobi matrices with spectral phase transitions by uniform asymptotic analysis
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