Traces of H\"ormander algebras on discrete sequences
Complex Variables
2010-04-16 v1
Abstract
We show that a discrete sequence of the complex plane is the union of interpolating sequences for the H\"ormander algebras if and only if the trace of on coincides with the space of functions on for which the divided differences of order are uniformly bounded. The analogous result holds in the unit disk for Korenblum-type algebras.
Cite
@article{arxiv.0803.2004,
title = {Traces of H\"ormander algebras on discrete sequences},
author = {Xavier Massaneda and Joaquim Ortega-Cerdà and Myriam Ounaïes},
journal= {arXiv preprint arXiv:0803.2004},
year = {2010}
}