Absence of singular continuous spectrum for certain self-adjoint operators |
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Authors: | E Mourre |
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Institution: | 1. Centre de Physique Théorique, CNRS Marseille, F-13288, Marseille Cedex 2, France
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Abstract: | We give a sufficient condition for a self-adjoint operator to have the following properties in a neighborhood of a pointE of its spectrum: - its point spectrum is finite;
- its singular continuous spectrum is empty;
- its resolvent satisfies a class of a priori estimates.
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Keywords: | |
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