# Article

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Keywords:
interpolating sequence; Carleson's theorem; uniformly separated; Blaschke product; Lipschitz class
Summary:
This paper deals with an interpolation problem in the open unit disc \$\mathbb D\$ of the complex plane. We characterize the sequences in a Stolz angle of \$\mathbb D \$, verifying that the bounded sequences are interpolated on them by a certain class of not bounded holomorphic functions on \$\mathbb D \$, but very close to the bounded ones. We prove that these interpolating sequences are also uniformly separated, as in the case of the interpolation by bounded holomorphic functions.
References:
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