Parameterization of the M (λ) function for a Hamiltonian system of limit circle type

Source abstract

Synopsis The authors continue their study of Titchmarch-Weyl matrix M (λ) functions for linear Hamiltonian systems. A representation for the M (λ) function is obtained in the case where the system is limit circle, or maximum deficiency index, type. The representation reduces, in a special case, to a parameterization for scalar m -coefficients due to C. T. Fulton. A proof that matrix M (λ) functions are meromorphic in the limit circle case is given.