Transformation operators for impedance Sturm-Liouville operators on the line

DOI10.30970/MS.60.1.79-98zbMath1523.34098OpenAlexW4387057952MaRDI QIDQ6059389

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Publication date: 2 November 2023

Published in: Matematychni Studiï (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.30970/ms.60.1.79-98

zbMATH Keywords

transformation operatorsbounded measuresimpedance Sturm-Liouville operator

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Scattering theory, inverse scattering involving ordinary differential operators (34L25) Algebras of operators on Banach spaces and other topological linear spaces (47L10)

Cites Work

• Scattering operators for matrix Zakharov-Shabat systems
• Classes of linear operators. Vol. I
• Perturbation theory for linear operators.
• Inverse scattering for Schrödinger operators with Miura potentials: I. Unique Riccati representatives and ZS-AKNS systems
• Weak Convergence of Measures
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