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Titchmarsh–Sims–Weyl Theory for Complex Hamiltonian Systems

Published online by Cambridge University Press:  26 September 2003

B. M. Brown ,
W. D. Evans  and
M. Plum
B. M. Brown
Affiliation:
Department of Computer Science, Cardiff University, P.O. Box 916, Cardiff CF24 3XF. E-mail: malcolm.brown@cs.cardiff.ac.uk
W. D. Evans
Affiliation:
School of Mathematics, Cardiff University, Senghennydd Road, Cardiff CF24 4YH. E-mail: evanswd@cf.ac.uk
M. Plum
Affiliation:
Mathematisches Institut I, Universität Karlsruhe, 76128 Karlsruhe, Germany. E-mail: michael.plum@math.uni-karlsruhe.de
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Abstract

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.

Keywords

ordinary differential operatorsWeyl theory34B2034Lxx
Type
Research Article
Information
Proceedings of the London Mathematical Society , Volume 87 , Issue 2 , September 2003 , pp. 419 - 450
Copyright
2003 London Mathematical Society

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