01-385 Ari Laptev, Sergej Naboko, Oleg Safronov

Absolutely continuous spectrum of Jacobi matrices (115K, Postscript) Oct 18, 01

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Abstract. We study the discrete Schr\"odinger operator perturbed by a three diagonal matrix of a certain class. We follow the approach of Deift and Killip and prove that the absolutely continuous part of the spectrum is essentially supported by [-2,2].

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