English

Borg-Marchenko-type Uniqueness Results for CMV Operators

Spectral Theory 2008-03-24 v1 Mathematical Physics math.MP

Abstract

We prove local and global versions of Borg-Marchenko-type uniqueness theorems for half-lattice and full-lattice CMV operators (CMV for Cantero, Moral, and Velazquez \cite{CMV03}). While our half-lattice results are formulated in terms of Weyl-Titchmarsh functions, our full-lattice results involve the diagonal and main off-diagonal Green's functions.

Cite

@article{arxiv.0803.3175,
  title  = {Borg-Marchenko-type Uniqueness Results for CMV Operators},
  author = {Stephen Clark and Fritz Gesztesy and Maxim Zinchenko},
  journal= {arXiv preprint arXiv:0803.3175},
  year   = {2008}
}

Comments

18 pages

R2 v1 2026-06-21T10:23:29.391Z