pith. sign in

arxiv: 1501.00085 · v3 · pith:U7WMLDMAnew · submitted 2014-12-31 · 🧮 math.CA · math-ph· math.MP

Quasicrystals with discrete support and spectrum

Nir Lev , Alexander Olevskii This is my paper
classification 🧮 math.CA math-phmath.MP
keywords discretespectrumsupportsetscaseclosedherejust
0
0 comments X
read the original abstract

We proved recently that a measure on R, whose support and spectrum are both uniformly discrete sets, must have a periodic structure. Here we show that this is not the case if the support and the spectrum are just discrete closed sets.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. On almost periodicity in crystalline measures

    math.FA 2026-05 unverdicted novelty 7.0

    Crystalline measures are almost periodic if and only if translation bounded; new constructions resolve Meyer's and Favorov's questions by exhibiting crystalline measures that are not translation bounded even as distributions.