English

Almost periodic functions, constructively

Logic in Computer Science 2017-01-11 v3

Abstract

The almost periodic functions form a natural example of a non-separable normed space. As such, it has been a challenge for constructive mathematicians to find a natural treatment of them. Here we present a simple proof of Bohr's fundamental theorem for almost periodic functions which we then generalize to almost periodic functions on general topological groups.

Keywords

Cite

@article{arxiv.cs/0512009,
  title  = {Almost periodic functions, constructively},
  author = {Bas Spitters},
  journal= {arXiv preprint arXiv:cs/0512009},
  year   = {2017}
}