3 papers
math.CV2023
Sampling and interpolation for analytic selfmappings of the disc
Nacho Monreal Galan, Michael Papadimitrakis
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 versio…
math.CA2014
Interpolation and sampling for analytic selfmappings of the disc
Nacho Monreal Galan, Michael Papadimitrakis
Two different problems are considered here. First, a version of Schwarz-Pick Lemma for points leads to an interpolation problem for analytic functions from the disc into itself…
math.CV2014
Extremal solutions of Nevalinna-Pick problems and certain classes of inner functions
Nacho Monreal Galán, Artur Nicolau
Consider a scaled Nevanlinna-Pick interpolation problem and let be the Blaschke product whose zeros are the nodes of the problem. It is proved that if belongs to a certain…