Marchenko-Ostrovski mappings for periodic Jacobi matrices
Mathematical Physics
2009-11-13 v1 math.MP
Spectral Theory
Abstract
We consider the 1D periodic Jacobi matrices. The spectrum of this operator is purely absolutely continuous and consists of intervals separated by gaps. We solve the inverse problem (including characterization) in terms of vertical slits on the quasimomentum domain . Furthermore, we obtain a priori two-sided estimates for vertical slits in terms of Jacoby matrices.
Keywords
Cite
@article{arxiv.0710.2833,
title = {Marchenko-Ostrovski mappings for periodic Jacobi matrices},
author = {Evgeny Korotyaev and Anton Kutsenko},
journal= {arXiv preprint arXiv:0710.2833},
year = {2009}
}