Sets of values of equivalent almost periodic functions

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.

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