On generalized sum rules for Jacobi matrices
Spectral Theory
2007-05-23 v3 Mathematical Physics
math.MP
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 Szeg\"o Theorem we prove sum rule identities in a very general form. Then, we apply the result to obtain new asymptotics for orthonormal polynomials.
Cite
@article{arxiv.math/0311469,
title = {On generalized sum rules for Jacobi matrices},
author = {F. Nazarov and F. Peherstorfer and A. Volberg and P. Yuditskii},
journal= {arXiv preprint arXiv:math/0311469},
year = {2007}
}
Comments
Appendix was extended