Article
Oper. Matrices 7, 695-712 (2013) [DOI: 10.7153/oam-07-38]

Singular Weyl-Titchmarsh-Kodaira theory for Jacobi operators

Jonathan Eckhardt and Gerald Teschl

Abstract
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.

MSC2010: Primary 47B36, 34B20; Secondary 47B39, 34A55
Keywords: Jacobi operators, inverse spectral theory, discrete spectra

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