English

Sets of values of equivalent almost periodic functions

Complex Variables 2018-01-29 v1

Abstract

In this paper we establish a new equivalence relation on the spaces of almost periodic functions which allows us to prove a result like Bohr's equivalence theorem extended to the case of all these functions.

Keywords

Cite

@article{arxiv.1801.08864,
  title  = {Sets of values of equivalent almost periodic functions},
  author = {J. M. Sepulcre and T. Vidal},
  journal= {arXiv preprint arXiv:1801.08864},
  year   = {2018}
}

Comments

In this paper we get a result like Bohr's equivalence theorem extended to the case of all almost periodic functions, not only for the case of existence of integral basis. arXiv admin note: substantial text overlap with arXiv:1711.04112