On a class of canonical systems on half-axis

DOI10.1007/BF01203458zbMath0919.47039MaRDI QIDQ1388151

Lev A. Sakhnovich

Publication date: 26 August 1999

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

zbMATH Keywords

asymptoticsinverse spectral problemsspectral analysiscanonical systemmatrix function

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) General theory of ordinary differential operators (47E05)

Related Items (11)

On the singular spectrum of Schrödinger operators with decaying potential ⋮ On the Absolutely Continuous Spectrum of Dirac Operator ⋮ Weyl functions of generalized Dirac systems: integral representation, the inverse problem and discrete interpolation ⋮ \(J\)-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 ⋮ On explicit inversion of a subclass of operators with \(D\)-difference kernels and Weyl theory of the corresponding canonical systems ⋮ On the application of some of M. G. Krein's results to the spectral analysis of Sturm-Liouville operators ⋮ To the spectral theory of Krein systems ⋮ A note on the theorems of M.G.Krein and L.A.Sakhnovich on continuous analogs of orthogonal polynomials on the circle ⋮ Spectral theory of a class of canonical differential systems ⋮ On the continuous analog of Rakhmanov's theorem for orthogonal polynomials.

Cites Work

• Unnamed Item
• The multiplicative structure of 𝐽-contractive matrix functions
• Factorization problems and operator identities
• On a hypothesis concerning Hamiltonians of canonical systems

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