Indefinite Hamiltonian Systems Whose Titchmarsh––weyl Coefficients Have No Finite Generalized Poles of Non–positive Type

@inproceedings{Woracek2013IndefiniteHS,
  title={Indefinite Hamiltonian Systems Whose Titchmarsh––weyl Coefficients Have No Finite Generalized Poles of Non–positive Type},
  author={Harald Woracek},
  year={2013}
}
The two-dimensional Hamiltonian system (∗) y′(x) = zJH(x)y(x), x ∈ (a,b), where the Hamiltonian H takes non-negative 2× 2-matrices as values, and J := ( 0 −1 1 0 ) , has attracted a lot of interest over the past decades. Special emphasis has been put on operator models and direct and inverse spectral theorems. Weyl theory plays a prominent role in the spectral theory of the equation, relating the class of all equations (∗) to the class N0 of all Nevanlinna functions via the construction of… CONTINUE READING