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

Published 14 May 2013 in math.SP, math-ph, and math.MP | (1305.3099v2)

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-Liebermann type uniqueness results. Finally, we give some applications to the case of radial Dirac operators.

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