Geodesic
Best approximations by rational vector-valued functions in Hardy spaces
Sbornik. Mathematics, Tome 61 (1988) no. 1, pp. 137-145 Cet article a éte moissonné depuis la source Math-Net.Ru

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Interpolation conditions satisfied by a best norm approximation among all rational functions of total order $N$ are obtained for vector-valued functions in the Hardy space $H^2(E)$. Also, descriptions are given for bases in finite-dimensional subspaces invariant under the backward shift operator. Bibliography: 9 titles. 
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S. A. Ivanov. Best approximations by rational vector-valued functions in Hardy spaces. Sbornik. Mathematics, Tome 61 (1988) no. 1, pp. 137-145. http://geodesic.mathdoc.fr/item/SM_1988_61_1_a9/

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