Mourre's theory for some unbounded Jacobi matrices |
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Authors: | Jaouad Sahbani |
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Affiliation: | Institut de Mathématiques de Jussieu Université Paris 7-Denis Diderot, case 7012, 2, place Jussieu, 75251 Paris Cedex 05, France |
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Abstract: | ![]() We show a Mourre estimate for a class of unbounded Jacobi matrices. In particular, we deduce the absolute continuity of the spectrum of such matrices. We further conclude some propagation theorems for them. |
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Keywords: | Mourre estimate Jacobi matrix Absolutely continuous spectrum |
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