Inverse problems for periodic generalized Jacobi matrices
Classical Analysis and ODEs
2011-06-06 v2 Spectral Theory
Abstract
Some inverse problems for semi-infinite periodic generalized Jacobi matrices are considered. In particular, a generalization of the Abel criterion is presented. The approach is based on the fact that the solvability of the Pell-Abel equation is equivalent to the existence of a certainly normalized -unitary -matrix polynomial (the monodromy matrix).
Cite
@article{arxiv.1011.5830,
title = {Inverse problems for periodic generalized Jacobi matrices},
author = {Maxim Derevyagin},
journal= {arXiv preprint arXiv:1011.5830},
year = {2011}
}
Comments
11 pages (some typos are corrected)