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arXiv · 1106.1263

Recovery of Dirac system from the rectangular Weyl matrix function

B. Fritzsche·B. Kirstein·I. Ya. Roitberg·A. L. Sakhnovich
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Abstract

Weyl theory for Dirac systems with rectangular matrix potentials is non-classical. The corresponding Weyl functions are rectangular matrix functions. Furthermore, they are non-expansive in the upper semi-plane. Inverse problems are treated for such Weyl functions, and some results are new even for the square Weyl functions. High energy asymptotics of Weyl functions and Borg-Marchenko type uniqueness results are derived too.

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B. Fritzsche, B. Kirstein, I. Ya. Roitberg, A. L. Sakhnovich. 2011-06-07. Recovery of Dirac system from the rectangular Weyl matrix function. https://doi.org/10.1088/0266-5611%2F28%2F1%2F015010

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