The parametrization of the Marchenko-Ostrovsky mapping in terms of the Dirichlet eigenvalues
Spectral Theory
2008-01-08 v1 Mathematical Physics
math.MP
Abstract
We consider the inverse spectral problem for periodic Jacobi matrices in terms of the vertical slits on the quasi-momentum domain plus the Dirichlet eigenvalues, i.e., the Marchenko-Ostrovsky mapping. Moreover, we show that the gradients of the Dirichlet eigenvalues and of the so-called norming constants are linear independent.
Keywords
Cite
@article{arxiv.0801.0807,
title = {The parametrization of the Marchenko-Ostrovsky mapping in terms of the Dirichlet eigenvalues},
author = {Maria Evgenievna Korotyaeva},
journal= {arXiv preprint arXiv:0801.0807},
year = {2008}
}