Titchmarsh–Sims–Weyl Theory for Complex Hamiltonian Systems

Titchmarsh–Sims–Weyl Theory for Complex Hamiltonian Systems

The paper extends to complex Hamiltonian systems previous work of the authors on the Sims extension of the Titchmarsh–Weyl theory for Sturm–Liouville equations with complex potentials, and analyses the spectral properties of associated non-self-adjoint operators.

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Veröffentlicht in:Proceedings of the London Mathematical Society 2003-09, Vol.87 (2), p.419-450
Hauptverfasser: Brown, B. M., Evans, W. D., Plum, M.
Format: Artikel
Sprache:eng
Schlagworte:
ordinary differential operators
Weyl theory
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Beschreibung
Zusammenfassung:The paper extends to complex Hamiltonian systems previous work of the authors on the Sims extension of the Titchmarsh–Weyl theory for Sturm–Liouville equations with complex potentials, and analyses the spectral properties of associated non-self-adjoint operators.
ISSN:0024-6115
1460-244X
DOI:10.1112/S0024611503014096