Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4614129 | Journal of Mathematical Analysis and Applications | 2016 | 26 Pages |
Abstract
Let f be a regular real-valued non-constant symbol defined on the one dimensional torus TT. Denote respectively by κ and T , its set of critical points and the associated Toeplitz matrix on l2(N)l2(N). If V is a suitable compact perturbation, we prove that the operator T+VT+V has no singular continuous spectrum and only finite point spectrum away from the set of thresholds f(κ)f(κ). We also obtain some propagation estimates and apply these results to concrete examples.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
M.A. Astaburuaga, O. Bourget, V.H. Cortés,