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arXiv · 1407.7776

Interpolation and sampling for analytic selfmappings of the disc

Nacho Monreal Galan·Michael Papadimitrakis
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Abstract

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

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Nacho Monreal Galan, Michael Papadimitrakis. 2014-07-29. Interpolation and sampling for analytic selfmappings of the disc. https://arxiv.org/abs/1407.7776

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