Borg-Marchenko-type Uniqueness Results for CMV Operators
classification
🧮 math.SP
math-phmath.MP
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resultsborg-marchenko-typefull-latticefunctionshalf-latticeoperatorsuniquenesscantero
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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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