On semibounded canonical systems

DOI10.1016/J.LAA.2007.05.011zbMath1149.34005OpenAlexW1966623016MaRDI QIDQ935380

Henrik Winkler, Harald Woracek

Publication date: 6 August 2008

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2007.05.011

zbMATH Keywords

inverse spectral problemTitchmarsh-Weyl coefficientcanonical (Hamiltonian) system

Mathematics Subject Classification ID

Weyl theory and its generalizations for ordinary differential equations (34B20) General spectral theory of ordinary differential operators (34L05) Linear symmetric and selfadjoint operators (unbounded) (47B25) General theory of ordinary differential operators (47E05) Inverse problems involving ordinary differential equations (34A55)

Related Items (7)

Density of Schrödinger Weyl-Titchmarsh \(m\) functions on Herglotz functions ⋮ Two-Dimensional Hamiltonian Systems ⋮ The \(m\)-functions of discrete Schrödinger operators are sparse compared to those for Jacobi operators ⋮ Continued fraction expansions of Herglotz–Nevanlinna functions and generalized indefinite strings of Stieltjes type ⋮ An inverse spectral theorem for Kreĭn strings with a negative eigenvalue ⋮ The essential spectrum of canonical systems ⋮ Oscillation theory and semibounded canonical systems

Cites Work

• Direct and inverse spectral problems for generalized strings
• Boundary-value problems for two-dimensional canonical systems
• The inverse spectral problem for canonical systems
• On some subclasses of Nevanlinna functions
• On exponential representation of analytic functions in the upper half- plane with positive imaginary part
• Discrete and continuous boundary problems
• On the spectral functions of the string
• Smooth rank one perturbations of selfadjoint operators
• On Generalized Friedrichs and Krein-von Neumann Extensions and Canonical Systems
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