Browsing by Author "Korotyaev, Evgeny"
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- ItemWeyl-Titchmarsh functions of vector-valued Sturm-Liouville operators on the unit interval(Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach, 2008) Chelkak, Dmitry; Korotyaev, EvgenyThe matrix-valued Weyl-Titchmarsh functions M(¸) 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(¸)) and the residues of M(¸) is called the spectral data of the operator. The complete characterization of spectral data (or, equivalently, N £ N Weyl-Titchmarsh functions) corresponding to N £ N self-adjoint square-integrable matrix-valued potentials is given, if all N eigenvalues of the averaged potential are distinct.