In this paper we revisit some facts about thin interpolating sequences in the unit disc from three perspectives: uniform algebras, model spaces, and spaces. We extend the notion of asymptotic interpolation to spaces, for , providing several new ways to think about these sequences.
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Pamela Gorkin, Sandra Pott, Brett D. Wick, Thin sequences and their role in theory, model spaces, and uniform algebras. Rev. Mat. Iberoam. 31 (2015), no. 3, pp. 841–864DOI 10.4171/RMI/856