On the existence of the absolutely continuous component for the measure associated with some orthogonal systems
By studying the asymptotics of eigenfunctions as the spectral parameter goes to infinity in the upper half-plane, the author investigates properties (existence, location) of the essential support of the absolutely continuous component of the spectral measure for Krein systems (equivalently, the Dirac systems) and for Sturm-Liouville operators. The results are formulated for particular classes of coefficients of the systems.
scientific article; zbMATH DE number 1742867