Recovery of the Dirac system from the rectangular Weyl matrix function
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Publication:3224129
DOI10.1088/0266-5611/28/1/015010zbMath1242.34027arXiv1106.1263OpenAlexW3104970466MaRDI QIDQ3224129
Inna Ya. Roitberg, Alexander L. Sakhnovich, Bernd Fritzsche, Bernd Kirstein
Publication date: 29 March 2012
Published in: Inverse Problems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1106.1263
Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General theory of ordinary differential operators (47E05) Inverse problems involving ordinary differential equations (34A55)
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Dynamical and spectral Dirac systems: response function and inverse problems ⋮ Inverse scattering on the half-line for generalized ZS-AKNS system with general boundary conditions ⋮ Scattering for general-type Dirac systems on the semi-axis: reflection coefficients and Weyl functions ⋮ The inverse approach to Dirac-type systems based on the \(A\)-function concept ⋮ The local Borg–Marchenko uniqueness theorem of matrix‐valued Dirac‐type operators for coefficients locally smooth at the right endpoint ⋮ Operator identities corresponding to inverse problems for Dirac systems
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