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arXiv · 1306.0318

On the uniqueness sets in the Fock space

Mishko Mitkovski·Brett D. Wick
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Abstract

It was known to von Neumann in the 1950's that the integer lattice $\mathbb{Z}^2$ forms a uniqueness set for the Bargmann-Fock space. It was later demonstrated by Seip and Wallst\'en that a sequence of points $\Gamma$ 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.

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Mishko Mitkovski, Brett D. Wick. 2013-06-03. On the uniqueness sets in the Fock space. https://arxiv.org/abs/1306.0318

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