On the uniqueness sets in the Fock space
Complex Variables
2013-06-04 v1 Classical Analysis and ODEs
Abstract
It was known to von Neumann in the 1950's that the integer lattice forms a uniqueness set for the Bargmann-Fock space. It was later demonstrated by Seip and Wallst\'en that a sequence of points that is uniformly close to the integer lattice is still a uniqueness set. We show in this paper that the uniqueness sets for the Fock space are preserved under much more general perturbations.
Cite
@article{arxiv.1306.0318,
title = {On the uniqueness sets in the Fock space},
author = {Mishko Mitkovski and Brett D. Wick},
journal= {arXiv preprint arXiv:1306.0318},
year = {2013}
}