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arXiv · 2308.00453

Sampling and interpolation for analytic selfmappings of the disc

Nacho Monreal Galan·Michael Papadimitrakis
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Abstract

Two different problems are considered here. First, a characterization of sampling sequences for the class of analytic functions from the disc into itself is given. Second, a version of Schwarz-Pick Lemma for $n$ points leads to an interpolation problem for the same functions, which may be considered as a particular case of the classical Nevanlinna-Pick interpolation problem.

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Nacho Monreal Galan, Michael Papadimitrakis. 2023-08-01. Sampling and interpolation for analytic selfmappings of the disc. https://arxiv.org/abs/2308.00453

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