English

Almost periodic discrete sets

Metric Geometry 2010-02-02 v1 Dynamical Systems

Abstract

Using a special metric in the space of sequences, we give a geometric description of almost periodic sets in the kk-dimensional Euclidean space. We prove the completeness of the space of almost periodic sets and some analogue of the Bochner criterion of almost periodicity. Also, we show the connection between these sets and almost periodic measures.

Keywords

Cite

@article{arxiv.1002.0091,
  title  = {Almost periodic discrete sets},
  author = {S. Favorov and Ye. Kolbasina},
  journal= {arXiv preprint arXiv:1002.0091},
  year   = {2010}
}

Comments

11 pages

R2 v1 2026-06-21T14:41:34.464Z