\(J\)-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

DOI10.1007/BF01196514zbMath1009.34007OpenAlexW2053650105MaRDI QIDQ1600092

Harry Dym, Damir Z. Arov

Publication date: 4 April 2003

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

canonical systemsinverse problems

Mathematics Subject Classification ID

Weyl theory and its generalizations for ordinary differential equations (34B20) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Inverse problems involving ordinary differential equations (34A55) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items (6)

Criteria for the strong regularity of \(J\)-inner functions and \(\gamma\)-generating matrices. ⋮ Completion problems and scattering problems for Dirac type differential equations with singularities ⋮ The bitangential inverse spectral problem for canonical systems ⋮ Two-Dimensional Hamiltonian Systems ⋮ Direct and inverse asymptotic scattering problems for Dirac--Krein systems ⋮ Discrete skew self-adjoint canonical system and the isotropic Heisenberg magnet model

Cites Work

• Numerical solution of integral equations, fast algorithms and Krein- Sobolev equation
• On an extension problem, generalized Fourier analysis, and an entropy formula
• Convolution equations and linear systems
• Spectral theory of canonical differential systems. Method of operator identities
• \(J\)-inner matrix functions, interpolation and inverse problems for canonical systems. I: Foundations
• Direct and inverse scattering for selfadjoint Hamiltonian systems on the line
• \(J\)-inner matrix functions, interpolation and inverse problems for canonical systems. IV: Direct and inverse bitangential input scattering problems
• Inverse spectral problem for differential operators with rational scattering matrix functions
• \(J\)-inner matrix functions, interpolation and inverse problems for canonical systems. II: The inverse monodromy problem
• \(J\)-inner matrix functions, interpolation and inverse problems for canonical systems. III: More on the inverse monodromy problem
• Functional Equations in the Theory of Dynamic Programming--VII. A Partial Differential Equation for the Fredholm Resolvent
• Lossless chain scattering matrices and optimum linear prediction: The vector case
• DARLINGTON REALIZATION OF MATRIX-VALUED FUNCTIONS
• Canonical Systems with Rational Spectral Densities: Explicit Formulas and Applications
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