arXiv subjects

Nacho Monreal Galan

Publications and source records attributed to Nacho Monreal Galan.

2 recordsLinked to original sources

arXiv2023

Sampling and interpolation for analytic selfmappings of the disc

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.

math.CV↗

arXiv2014

Interpolation and sampling for analytic selfmappings of the disc

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.

math.CA↗