Perturbed Interpolation Problems


Dušan Georgijević


A sort of perturbations of interpolation problems is used, which enables to transfer the known results on interior interpolation problems of Pick--Nevanlinna type to boundary value interpolation problems. It is shown that the nonnegativity and the so called absence-of-residues property of the Pick kernel are necessary and sufficient condition for solvability of a matricial directional boundary value interpolation problem of Pick--Nevanlinna type.