\(J\)-inner matrix functions, interpolation and inverse problems for canonical systems. III: More on the inverse monodromy problem

DOI10.1007/BF01202092zbMath0998.30037MaRDI QIDQ1974666

Harry Dym, Damir Z. Arov

Publication date: 26 November 2002

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

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 (10)

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 general realization theorem for matrix-valued Herglotz--Nevanlinna functions ⋮ Borg-type theorems for high-order equations with matrix coefficients ⋮ 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

Cites Work

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• Some Hilbert Spaces of Entire Functions
• Some Hilbert Spaces of Entire Functions. II
• Some Hilbert Spaces of Entire Functions. IV
• Factorization problems and operator identities
• On a hypothesis concerning Hamiltonians of canonical systems
• Some Hilbert Spaces of Entire Functions. III
• Some Hilbert Spaces of Analytic Functions
• Wavelets and the angle between past and future

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