\(J\)-inner matrix functions, interpolation and inverse problems for canonical systems. IV: Direct and inverse bitangential input scattering problems

DOI10.1007/BF01196514zbMath1040.34012OpenAlexW2053650105MaRDI QIDQ1600091

Damir Z. Arov, Harry Dym

Publication date: 2002

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01196514

zbMATH Keywords

integral equationscattering problemholomorphic matrix-valued function

Mathematics Subject Classification ID

Weyl theory and its generalizations for ordinary differential equations (34B20) Moment problems and interpolation problems in the complex plane (30E05) Inverse problems involving ordinary differential equations (34A55) Entire and meromorphic functions of one complex variable, and related topics (30D99) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items

The bitangential inverse spectral problem for canonical systems ⋮ Boundary triples for integral systems on finite intervals ⋮ Two-Dimensional Hamiltonian Systems ⋮ Continuous analogs of Schur extension problems and bitangential generalizations ⋮ Matricial Nehari problems, \(J\)-inner matrix functions and the Muckenhoupt condition ⋮ \(J\)-inner matrix functions, interpolation and inverse problems for canonical systems. IV: Direct and inverse bitangential input scattering problems ⋮ \(J\)-inner matrix functions, interpolation and inverse problems for canonical systems. V: The inverse input scattering problem for Wiener class and rational \(p\times q\) input scattering matrices ⋮ Inverse scattering of canonical systems and their evolution

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