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The main content of this paper is Lectures 5 and 6 that continue lecturenotes [20]. Content of Lectures 1-4 of [20] is reviewed for the reader'sconvenience in sections 1-4, respectively. It is shown in Lecture 5 howresidual parts of the minimal unitary extensions, that correspond to solutionsof the problem, yield some boundary properties of the coefficientmatrix-function. These results generalize the classical Nevanlinna - Adamjan -Arov~- Krein theorem. Lecture 6 discusses how further properties of thecoefficient matrices follow from denseness of certain sets in the associatedfunction model spaces. The structure of the dense set reflects the structure ofthe problem data.

Abstract Interpolation Problem and Some Applications. II: Coefficient Matrices