\(J\)-inner matrix functions, interpolation and inverse problems for canonical systems. II: The inverse monodromy problem

DOI10.1007/BF01236286zbMath0951.30029OpenAlexW1990640489MaRDI QIDQ1969961

Harry Dym, Damir Z. Arov

Publication date: 11 May 2000

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

Full work available at URL: https://doi.org/10.1007/bf01236286

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Linear operator methods in interpolation, moment and extension problems (47A57) 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)

Related Items

Criteria for the strong regularity of \(J\)-inner functions and \(\gamma\)-generating matrices., The bitangential inverse spectral problem for canonical systems, Weyl–Titchmarsh $M$-Function Asymptotics, Local Uniqueness Results, Trace Formulas, and Borg-type Theorems for Dirac Operators, Two-Dimensional Hamiltonian Systems, A special case of de Branges' theorem on the inverse monodromy problem, 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

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