5 citations · 8 across the 5 of their papers we have counts for
5 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.
If they are limit periodic?
J. Bellissard, J. Geronimo, A. Volberg +1
We prove a partial result concerning the long-standing problem on limit periodicity of the Jacobi matrix associated with the balanced measure on the Julia set of an expending polyn…
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…
Large Bergman spaces: invertibility, cyclicity, and subspaces of arbitrary index
Alexander Borichev, Hakan Hedenmalm, Alexander Volberg
In a wide class of weighted Bergman spaces, we construct invertible non-cyclic elements. These are then used to produce z-invariant subspaces of index higher than one. In addition,…