On generalized sum rules for Jacobi matrices

F. Nazarov; F. Peherstorfer; A. Volberg; P. Yuditskii

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On generalized sum rules for Jacobi matrices

F. Nazarov·F. Peherstorfer·A. Volberg·P. Yuditskii

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Abstract

This work is in a stream initiated by a paper of Killip and Simon [Ann. of Math. (2003)]. Using methods of Functional Analysis and the classical Szegö Theorem we prove sum rule identities in a very general form. Then, we apply the result to obtain new asymptotics for orthonormal polynomials.

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BibTeX RIS

F. Nazarov, F. Peherstorfer, A. Volberg, P. Yuditskii. 2004-02-04. On generalized sum rules for Jacobi matrices. https://arxiv.org/abs/math/0311469

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