Beschreibung:
The matrix-valued Weyl-Titchmarsh functions M(l) of vector-valued Sturm-Liouville operators on the unit interval with the Dirichlet boundary conditions are considered. The collection of the eigenvalues (i.e., poles of M(l)) and the residues of M(l) is called the spectral data of the operator. The complete characterization of spectral data (or, equivalently, NxN Weyl-Titchmarsh functions) corresponding to NxN self-adjoint square-integrable matrix-valued potentials is given, if all N eigenvalues of the averaged potential are distinct.