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math.SP2003★ 5 cited
On generalized sum rules for Jacobi matrices
F. Nazarov, F. Peherstorfer, A. Volberg +1
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 ide…
math.SP2003
Finite differrence operators with a finite--band spectrum
M. Shapiro, V. Vinnikov, P. Yuditskii
We discuss a functional model for multi--diagonal selfadjoint operators with almost periodic coefficients that generalizes the well known model for finite band Jacobi matrices. It…