2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/168269The matrix-valued Weyl-Titchmarsh functions $M(λ)$ 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 $M(λ)$) and the residues of $M(λ)$ is called the spectral data of the operator. The complete characterization of spectral data (or, equivalently, $N\times N$ Weyl-Titchmarsh functions) corresponding to $N\times N$ self-adjoint square-integrable matrix-valued potentials is given, if all $N$ eigenvalues of the averaged potential are distinct.34 pages; typos correctedSpectral TheoryMathematical Physics34A55 (Primary) 34B24, 47E05 (Secondary)text