Geometric conditions for multiple sampling and interpolation in the Fock space
arXiv:1508.03932
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.
Analogous results for p between 2 and infinity have been added in the new Section 8. appears in Adv. in Math., 2016