English

On Bochner's Almost-periodicity criterion

Classical Analysis and ODEs 2023-01-03 v1

Abstract

We give an extension of Bochner's criterion for the almost periodic functions. By using our main result, we extend two results of A. Haraux. The first is a generalization of Bochner's criterion which is useful for periodic dynamical systems. The second is a characterization of periodic functions in term of Bochner's criterion.

Keywords

Cite

@article{arxiv.2301.00263,
  title  = {On Bochner's Almost-periodicity criterion},
  author = {Philippe Cieutat},
  journal= {arXiv preprint arXiv:2301.00263},
  year   = {2023}
}

Comments

14 pages

R2 v1 2026-06-28T07:58:23.276Z