Oscillation theory and semibounded canonical systems

DOI10.4171/JST/329zbMath1477.34110arXiv1811.07067OpenAlexW3117613284MaRDI QIDQ2043647

Kyle Scarbrough, Remling, Christian

Publication date: 3 August 2021

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.07067

zbMATH Keywords

oscillation theoryessential spectrumcanonical system

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General spectral theory of ordinary differential operators (34L05) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Linear relations (multivalued linear operators) (47A06)

Related Items (4)

On the solution of the inverse problem for a class of canonical systems corresponding to matrix string equations ⋮ The essential spectrum of canonical systems ⋮ Canonical systems with discrete spectrum ⋮ Jacobi matrices with lacunary spectrum

Cites Work

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• Relative oscillation theory, weighted zeros of the Wronskian, and the spectral shift function
• On semibounded canonical systems
• Spectral theory of ordinary differential operators
• Spectral theory of canonical systems
• Renormalized oscillation theory for Hamiltonian systems
• Bounds on order of indeterminate moment sequences
• Order problem for canonical systems and a conjecture of Valent
• Zeros of the Wronskian and Renormalized Oscillation Theory
• Strings, dual strings, and related canonical systems

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