Recovery of Dirac system from the rectangular Weyl matrix function

Recovery of Dirac system from the rectangular Weyl matrix function

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 t...

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Veröffentlicht in:arXiv.org 2011-06
Hauptverfasser: Fritzsche, B, Kirstein, B, I Ya Roitberg, Sakhnovich, A L
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Inverse problems
Mathematics - Classical Analysis and ODEs
Mathematics - Functional Analysis
Mathematics - Spectral Theory
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I Ya Roitberg
Sakhnovich, A L
description 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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subjects Inverse problems
Mathematics - Classical Analysis and ODEs
Mathematics - Functional Analysis
Mathematics - Spectral Theory
title Recovery of Dirac system from the rectangular Weyl matrix function
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