On the multiple Nevanlinna–Pick interpolation problems in some matrix-valued function classes

AbstractSomeintrinsicone-to-onecorrespondencesbetweenthesolutionstothemultipleNevanl- inna–Pick interpolation problems and the solutions to the associated truncated power/trigonometric moment problems are established. The solvability criteria for the interpolation problems are given. The method used in the paper is the so-called Hankel/Toeplitz block-vector approach