On generalized sum rules for Jacobi matrices

Details On generalized sum rules for Jacobi matrices On generalized sum rules for Jacobi matrices

2003-11-26

arxiv.org/abs/math/0311469v3

Mathematics

Spectral Theory

Appendix was extended

Scientific paper

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.

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