Titchmarsh–Sims–Weyl Theory for Complex Hamiltonian Systems

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. 2000 Mathematics Subject Classification 34B20, 34Lxx.