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arxiv: 1203.5856 · v2 · pith:EKUJ57XInew · submitted 2012-03-26 · 🧮 math.SP · math-ph· math.MP

Singular Weyl-Titchmarsh-Kodaira Theory for Jacobi Operators

classification 🧮 math.SP math-phmath.MP
keywords jacobioperatorssingulartheoryweyl-titchmarsh-kodairaborg-marchenkodevelopestablish
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We develop singular Weyl-Titchmarsh-Kodaira theory for Jacobi operators. In particular, we establish existence of a spectral transformation as well as local Borg-Marchenko and Hochstadt-Liebermann type uniqueness results.

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