The Spectral Measure Of A Jacobi Matrix In Terms Of The Fourier Transform Of The Perturbation

We study the spectral properties of Jabobi matrices. By combining Killip's technique [13] with the technique of Killip and Simon [12] we obtain a result relating the properties of the elements of Jacobi matrices and the corresponding spectral measures. This theorem is a natural extension of a r...

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Bibliographic Details
Main Author: O. Safronov
Other Authors: The Pennsylvania State University CiteSeerX Archives
Format: Text
Language:English
Published:
Subjects:
laptev
Online Access:http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.20.1360
http://www.ma.utexas.edu/mp_arc/c/02/02-306.ps.gz
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Summary:We study the spectral properties of Jabobi matrices. By combining Killip's technique [13] with the technique of Killip and Simon [12] we obtain a result relating the properties of the elements of Jacobi matrices and the corresponding spectral measures. This theorem is a natural extension of a recent result of Laptev-Naboko-Safronov[17]. The author contemplated this paper as a part of an updated version of a different article. Therefore the present text will probably exist only as a preprint or will be published as a part of another paper. 0.

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