A generalization of Bohr's Equivalence Theorem

2017/11/11 by J. M. Sepulcre, T. Vidal, Sepulcre, J. M. +1
Mathematics · #11K60 #30Axx #30B50 #30D20 #Analytic Number Theory Research #Complex Variables (math.CV) #FOS: Mathematics #Mathematical Dynamics and Fractals #Mathematics and Applications

paper · pdf · doi:10.48550/arxiv.1711.04112

openalex publication_date 2017/11/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Based on a generalization of Bohr's equivalence relation for general Dirichlet series, in this paper we study the sets of values taken by certain classes of equivalent almost periodic functions in their strips of almost periodicity. In fact, the main result of this paper consists of a result like Bohr's equivalence theorem extended to the case of these functions.

Related

• Sets of values of equivalent almost periodic functions
• Bohr's equivalence relation in the space of Besicovitch almost periodic functions
• The converse of Bohr's equivalence theorem with Fourier exponents linearly independent over the rational numbers
• On Bochner's Almost-periodicity criterion
• Multi-dimensional c-almost periodic type functions and applications