Weyl functions of generalized Dirac systems: integral representation, the inverse problem and discrete interpolation

DOI10.1007/s11854-012-0002-xzbMath1280.34013OpenAlexW2041893179MaRDI QIDQ351352

Bernd Kirstein, Alexander L. Sakhnovich, Bernd Fritzsche

Publication date: 11 July 2013

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11854-012-0002-x

zbMATH Keywords

inverse problemsTitchmarsh-Weyl functionDirac systems

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General spectral theory of ordinary differential operators (34L05) Inverse problems involving ordinary differential equations (34A55) Scattering theory, inverse scattering involving ordinary differential operators (34L25)

Related Items

Dynamical and spectral Dirac systems: response function and inverse problems, On the solution of the inverse problem for a class of canonical systems corresponding to matrix string equations, Initial value problems for integrable systems on a semi-strip, Direct and inverse spectral theorems for a class of canonical systems with two singular endpoints, Skew-self-adjoint Dirac system with a rectangular matrix potential: Weyl theory, direct and inverse problems, Operator identities corresponding to inverse problems for Dirac systems, On the class of canonical systems corresponding to matrix string equations: general-type and explicit fundamental solutions and Weyl-Titchmarsh theory

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