Sampling and interpolation for analytic selfmappings of the disc
Complex Variables
2023-08-03 v2
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 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.
Keywords
Cite
@article{arxiv.2308.00453,
title = {Sampling and interpolation for analytic selfmappings of the disc},
author = {Nacho Monreal Galan and Michael Papadimitrakis},
journal= {arXiv preprint arXiv:2308.00453},
year = {2023}
}
Comments
20 pages. This is a major revision of the older paper arXiv:1407.7776 especially for the part related to the sampling sequences. There is also a reordering between the two parts