5 citations · 8 across the 4 of their papers we have counts for
4 papers
Noncommutative Perron-Frobenius-Ruelle theorem, two weight Hilbert transform, and almost periodicity
A. Volberg, P. Yuditskii
We consider the Jacobi matrix generated by a balanced measure of hyperbolic polynomial map. The conjecture of Bellissard says that this matrix should have an extremely strong perio…
Limit periodic Jacobi matrices with a prescribed p-adic hull and a singularly continuous spectrum
F. Peherstorfer, A. Volberg, P. Yuditskii
In this work we build a certain machine that allows to construct almost periodic Jacobi matrices with singularly continuous spectrum a prescribed p-adic hull.
Remarks on a paper of Geronimo and Johnson
F. Peherstorfer, P. Yuditskii
We present a point of view on results of the paper of Geronimo and Johnson [Comm. Math, Phys. 193 (1998)] that allow infinitely dimensional generalization up to the case when spect…
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…