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Mourre's theory for some unbounded Jacobi matrices
Authors:Jaouad Sahbani  
Affiliation:Institut de Mathématiques de Jussieu Université Paris 7-Denis Diderot, case 7012, 2, place Jussieu, 75251 Paris Cedex 05, France
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.
Keywords:Mourre estimate   Jacobi matrix   Absolutely continuous spectrum
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