Borg-Marchenko-type Uniqueness Results for CMV Operators

Details Borg-Marchenko-type Uniqueness Results for CMV Operators Borg-Marchenko-type Uniqueness Results for CMV Operators

2008-03-21

arxiv.org/abs/0803.3175v1

Mathematics

Spectral Theory

18 pages

Scientific paper

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.

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