Geodesic
Analytic theory of a~class of interpolation problems
Izvestiya. Mathematics , Tome 22 (1984) no. 3, pp. 419-463

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This paper studies a method of solving the matrix Nevanlinna–Pick, Carathéodory, and Hamburger problems by using the theory of analytic $J$-expanding matrix-valued functions ($J$-theory). The solution of each problem is represented as a linear fractional transformation whose coefficient matrix is an entity of $J$-theory. Bibliography: 11 titles. 
@article{IM2_1984_22_3_a1,
     author = {I. V. Kovalishina},
     title = {Analytic theory of a~class of interpolation problems},
     journal = {Izvestiya. Mathematics },
     pages = {419--463},
     publisher = {mathdoc},
     volume = {22},
     number = {3},
     year = {1984},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1984_22_3_a1/}
}
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I. V. Kovalishina. Analytic theory of a~class of interpolation problems. Izvestiya. Mathematics , Tome 22 (1984) no. 3, pp. 419-463. http://geodesic.mathdoc.fr/item/IM2_1984_22_3_a1/