Geodesic
Necessary and sufficient conditions for~extending a~function to a~Schur function
Sbornik. Mathematics, Tome 211 (2020) no. 12, pp. 1660-1703

Voir la notice de l'article provenant de la source Math-Net.Ru

A criterion for a function given by its values (with multiplicities) at a sequence of points in the disc $\mathbb D=\{|z|1\}$ to extend to a holomorphic function in $\mathbb D$ with modulus at most $1$ is stated and proved. In the case when the function is defined by the values of its derivatives at $z=0$, this coincides with Schur's well-known criterion. Bibliography: 16 titles.
Keywords: continued fractions, Schur functions, Hankel determinants. 
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     author = {V. I. Buslaev},
     title = {Necessary and sufficient conditions for~extending a~function to {a~Schur} function},
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     url = {http://geodesic.mathdoc.fr/item/SM_2020_211_12_a0/}
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V. I. Buslaev. Necessary and sufficient conditions for~extending a~function to a~Schur function. Sbornik. Mathematics, Tome 211 (2020) no. 12, pp. 1660-1703. http://geodesic.mathdoc.fr/item/SM_2020_211_12_a0/