Almost periodic discrete sets
S.Favorov, and Ye.Kolbasina

TL;DR
This paper provides a geometric framework for understanding almost periodic sets in Euclidean space using a special metric, establishing their completeness and linking them to almost periodic measures.
Contribution
It introduces a new geometric description of almost periodic sets, proves the space's completeness, and relates these sets to almost periodic measures.
Findings
Complete space of almost periodic sets established
Analogue of Bochner criterion proved
Connection between almost periodic sets and measures shown
Abstract
Using a special metric in the space of sequences, we give a geometric description of almost periodic sets in the -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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
Topicsadvanced mathematical theories
