The Spectral Measure of a Jacobi Matrix in Terms of the Fourier Transform of the Perturbation
نویسنده
چکیده
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.
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تاریخ انتشار 2007