Recovery of Dirac system from the rectangular Weyl matrix function

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.

References in corpus (2)

• Sine-Gordon theory in a semi-strip
• Semiseparable integral operators and explicit solution of an inverse problem for the skew-self-adjoint Dirac-type system

Cited by in corpus (2)

• Inverse problem for one-dimensional dynamical Dirac system (BC-method)
• Dynamical and spectral Dirac systems: response function and inverse problems