Article
Monatsh. Math. 174, 515-547 (2014) [DOI: 10.1007/s00605-013-0563-5]

Singular Weyl-Titchmarsh-Kodaira theory for one-dimensional Dirac operators

Rainer Brunnhuber, Jonathan Eckhardt, Aleksey Kostenko, and Gerald Teschl

Abstract
We develop singular Weyl-Titchmarsh-Kodaira theory for one-dimensional Dirac operators. In particular, we establish existence of a spectral transformation as well as local Borg-Marchenko and Hochstadt-Lieberman type uniqueness results. Finally, we give some applications to the case of radial Dirac operators.

MSC2010: Primary 34B20, 34L40; Secondary 34L10, 34A55
Keywords: Dirac operators, spectral theory, Borg-Marchenko theorem

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