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Titchmarsh–Sims–Weyl Theory for Complex Hamiltonian Systems

Published online by Cambridge University Press:  26 September 2003

B. M. Brown
Affiliation:
Department of Computer Science, Cardiff University, P.O. Box 916, Cardiff CF24 3XF. E-mail: [email protected]
W. D. Evans
Affiliation:
School of Mathematics, Cardiff University, Senghennydd Road, Cardiff CF24 4YH. E-mail: [email protected]
M. Plum
Affiliation:
Mathematisches Institut I, Universität Karlsruhe, 76128 Karlsruhe, Germany. E-mail: [email protected]
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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.

Type
Research Article
Copyright
2003 London Mathematical Society

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