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math.SP2011★ 2 cited
Some connections between almost periodic and periodic discrete Schroedinger operators with analytic potentials
Mira Shamis
We study discrete Schroedinger operators with analytic potentials. In particular, we are interested in the connection between the absolutely continuous spectrum in the almost perio…
math.SP2009
Preservation of absolutely continuous spectrum of periodic Jacobi operators under perturbations of square--summable variation
U. Kaluzhny, M. Shamis
We study self-adjoint bounded Jacobi operators of the form: (J ψ)(n) = a_n ψ(n + 1) + b_n ψ(n) +a_{n-1} ψ(n - 1) on . We assume that for some fixed q, the q-variation o…