Recovery of Dirac system from the rectangular Weyl matrix function

Details Recovery of Dirac system from the rectangular Weyl matrix function Recovery of Dirac system from the rectangular Weyl matrix function

2011-06-07

arxiv.org/abs/1106.1263v1

Mathematics

Classical Analysis and ODEs

Scientific paper

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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