Crystalline temperate distributions with uniformly discrete support and spectrum
Classical Analysis and ODEs
2021-04-29 v2 Functional Analysis
Abstract
We prove that a temperate distribution on whose support and spectrum are uniformly discrete sets, can be obtained from Poisson's summation formula by a finite number of basic operations (shifts, modulations, differentiations, multiplication by polynomials, and taking linear combinations).
Keywords
Cite
@article{arxiv.2101.04092,
title = {Crystalline temperate distributions with uniformly discrete support and spectrum},
author = {Nir Lev and Gilad Reti},
journal= {arXiv preprint arXiv:2101.04092},
year = {2021}
}