Geometric conditions for multiple sampling and interpolation in the Fock space
Complex Variables
2016-09-16 v2
Abstract
We study multiple sampling, interpolation and uniqueness for the classical Fock spaces in the case of unbounded multiplicities. We show that there are no sequences which are simultaneously sampling and interpolating when the multiplicities tend to infinity.
Keywords
Cite
@article{arxiv.1508.03932,
title = {Geometric conditions for multiple sampling and interpolation in the Fock space},
author = {Alexander Borichev and Andreas Hartmann and Karim Kellay and Xavier Massaneda},
journal= {arXiv preprint arXiv:1508.03932},
year = {2016}
}
Comments
Analogous results for p between 2 and infinity have been added in the new Section 8. appears in Adv. in Math., 2016