Two-Dimensional Hamiltonian Systems

DOI10.1007/978-3-0348-0667-1_11zbMath1337.47113OpenAlexW627350836MaRDI QIDQ3462185

Henrik Winkler

Publication date: 4 January 2016

Published in: Operator Theory (Search for Journal in Brave)

Full work available at URL: https://www.db-thueringen.de/servlets/MCRFileNodeServlet/dbt_derivate_00028600/IfM_Preprint_M_13_15.pdf

zbMATH Keywords

canonical systemsNevanlinna functiontwo-dimensional Hamiltonian systemsTitchmarsh-Weyl coefficientdirect and inverse spectral problem

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Weyl theory and its generalizations for ordinary differential equations (34B20) General theory of ordinary differential operators (47E05) Applications of operator theory to differential and integral equations (47N20) Research exposition (monographs, survey articles) pertaining to operator theory (47-02) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (8)

Density of Schrödinger Weyl-Titchmarsh \(m\) functions on Herglotz functions ⋮ Unique determination of a system by a part of the monodromy matrix ⋮ The inverse spectral problem for indefinite strings ⋮ The classical moment problem and generalized indefinite strings ⋮ The \(m\)-functions of discrete Schrödinger operators are sparse compared to those for Jacobi operators ⋮ An inverse problem for a class of lacunary canonical systems with diagonal Hamiltonians ⋮ An inverse problem for a class of canonical systems having Hamiltonians of determinant one ⋮ The inverse spectral transform for the conservative Camassa-Holm flow with decaying initial data

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