English

Coherent frames with zero Beurling density

Functional Analysis 2026-04-02 v1 Representation Theory

Abstract

We show the existence of a coherent frame in the orbit of a connected, simply connected unimodular solvable Lie group of exponential growth for which the lower Beurling density of its index set is zero.

Cite

@article{arxiv.2604.00765,
  title  = {Coherent frames with zero Beurling density},
  author = {Ingrid Beltita and Jordy Timo van Velthoven},
  journal= {arXiv preprint arXiv:2604.00765},
  year   = {2026}
}