Rational interpolation and mixed inverse spectral problem for finite CMV matrices
Spectral Theory
2007-09-17 v1 Classical Analysis and ODEs
Abstract
For finite dimensional CMV matrices the mixed inverse spectral problem of reconstruction the matrix by its submatrix and a part of its spectrum is considered. A general rational interpolation problem which arises in solving the mixed inverse spectral problem is studied, and the description of the space of its solutions is given. We apply the developed technique to give sufficient conditions for the uniqueness of the solution of the mixed inverse spectral problem.
Cite
@article{arxiv.0709.2214,
title = {Rational interpolation and mixed inverse spectral problem for finite CMV matrices},
author = {Leonid Golinskii and Mikhail Kudryavtsev},
journal= {arXiv preprint arXiv:0709.2214},
year = {2007}
}
Comments
22 pages, LaTex file