Crystalline temperate distributions with uniformly discrete support and spectrum

11 Jan 2021  ·  Nir Lev, Gilad Reti ·

We prove that a temperate distribution on $\mathbb{R}$ 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)...

PDF Abstract
No code implementations yet. Submit your code now

Categories


Classical Analysis and ODEs Functional Analysis 30D15, 42A38, 52C23