Temperate distributions with locally finite support and spectrum on Euclidean spaces
Functional Analysis
2022-12-01 v3
Abstract
We prove that supports of a wide class of temperate distributions with uniformly discrete support and spectrum on Euclidean spaces are finite unions of translations of full-rank lattices. This result is a generalization of the corresponding theorem for Fourier quasicrystals, and its proof uses the technique of almost periodic distributions.
Keywords
Cite
@article{arxiv.2106.07073,
title = {Temperate distributions with locally finite support and spectrum on Euclidean spaces},
author = {Serhii Favorov},
journal= {arXiv preprint arXiv:2106.07073},
year = {2022}
}
Comments
16 pages, references 28 items