Indefinite Hamiltonian systems whose Titchmarsh-Weyl coefficients have no finite generalized poles of non-positive type

DOI10.7153/oam-07-29zbMath1282.34089OpenAlexW2030975560MaRDI QIDQ2869927

Harald Woracek, Matthias Langer

Publication date: 7 January 2014

Published in: Operators and Matrices (Search for Journal in Brave)

Full work available at URL: http://files.ele-math.com/articles/oam-07-29.pdf

zbMATH Keywords

inverse problemasymptotics of solutionsTitchmarsh-Weyl coefficientHamiltonian system with inner singularity

Mathematics Subject Classification ID

Weyl theory and its generalizations for ordinary differential equations (34B20) General spectral theory of ordinary differential operators (34L05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) 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 on spaces with an indefinite metric (47B50)

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de Branges Spaces and Growth Aspects ⋮ Perturbation of chains of de Branges spaces ⋮ Hamiltonian systems and Sturm-Liouville equations: Darboux transformation and applications ⋮ Limit behavior of Weyl coefficients ⋮ Direct and inverse spectral theorems for a class of canonical systems with two singular endpoints ⋮ Commuting operators over Pontryagin spaces with applications to system theory ⋮ Spectral asymptotics for canonical systems ⋮ Trace formulas and continuous dependence of spectra for the periodic conservative Camassa-Holm flow ⋮ Distributional representations of Nκ(∞)‐functions ⋮ Entries of indefinite Nevanlinna matrices

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