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arxiv: 1305.3099 · v2 · pith:K3YSDDSQnew · submitted 2013-05-14 · 🧮 math.SP · math-ph· math.MP

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

Rainer Brunnhuber , Jonathan Eckhardt , Aleksey Kostenko , Gerald Teschl This is my paper
classification 🧮 math.SP math-phmath.MP
keywords diracoperatorsone-dimensionalsingulartheoryweyl-titchmarsh-kodairaapplicationsborg-marchenko
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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-Liebermann type uniqueness results. Finally, we give some applications to the case of radial Dirac operators.

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