Subordinacy Theory for Extended CMV Matrices
Spectral Theory
2022-01-25 v2 Classical Analysis and ODEs
Abstract
We develop subordinacy theory for extended CMV matrices. That is, we provide explicit supports for the singular and absolutely continuous parts of the canonical spectral measure associated with a given extended CMV matrix in terms of the presence or absence of subordinate solutions of the generalized eigenvalue equation. Some corollaries and applications of this result are described as well.
Keywords
Cite
@article{arxiv.2005.04696,
title = {Subordinacy Theory for Extended CMV Matrices},
author = {Shuzheng Guo and David Damanik and Darren C. Ong},
journal= {arXiv preprint arXiv:2005.04696},
year = {2022}
}
Comments
25 pages. To appear in Science China Mathematics