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Titchmarsh-Sims-Weyl Theory for Complex Hamiltonian Systems
Authors:Brown  B M; Evans  W D; Plum  M
Institution:Department of Computer Science, Cardiff University P.O. Box 916, Cardiff CF24 3XF. E-mail: malcolm.brown{at}cs.cardiff.ac.uk
School of Mathematics, Cardiff University Senghennydd Road, Cardiff CF24 4YH. E-mail: evanswd{at}cf.ac.uk
Mathematisches Institut I, Universität Karlsruhe 76128 Karlsruhe, Germany. E-mail: michael.plum{at}math.uni-karlsruhe.de
Abstract:The paper extends to complex Hamiltonian systems previous workof the authors on the Sims extension of the Titchmarsh–Weyltheory for Sturm–Liouville equations with complex potentials,and analyses the spectral properties of associated non-self-adjointoperators. 2000 Mathematics Subject Classification 34B20, 34Lxx.
Keywords:ordinary differential operators  Weyl theory
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