A Marchenko equation for complex interactions with a regular analytic continuation

DOI10.1016/0022-247X(83)90272-XzbMath0525.35067MaRDI QIDQ594288

Marcel Coz

Publication date: 1983

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

existencecomplex potentialsfundamental equationMarchenko equationcomplex interactionsregular analytic continuation

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Perturbations in context of PDEs (35B20) Continuation and prolongation of solutions to PDEs (35B60)

Related Items (1)

Inverse scattering problem for Sturm–Liouville operators with Bessel singularities on noncompact star-type graphs

Cites Work

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• Extension of the Marchenko equation to non-Hermitian differential systems
• Analytic Properties of Radial Wave Functions
• The Inverse Problem in the Quantum Theory of Scattering
• The Gel’fand–Levitan equation can give simple examples of non-self-adjoint operators with complete eigenfunctions and spectral representations. I. Ghosts and resonances
• A direct study of a Marchenko fundamental equation with centripetal potential
• AN ANALOG OF THE INVERSE PROBLEM OF SCATTERING THEORY FOR A NONSELFADJOINT OPERATOR
• Fredholm Equations on a Hilbert Space of Analytic Functions

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