Work

An extension of Bohr’s equivalence theorem to the case of exponential polynomials with distinct sets of frequencies

Year: 2025

Type: article

Abstract: Inspired by Bohr’s equivalence relation concerning general Dirichlet series, in this paper we introduce a new equivalence relation on certain classes of exponential polynomials whose sets of frequencies are not necessarily equal. We first characterize this equivalence relation through a new perspective, and finally we obtain an improvement of Bohr’s equivalence theorem for the case of these finite exponential sums.

Source: Annals of Functional Analysis

DOI: 10.1007/s43034-025-00460-2

Authors: J. M. Sepulcre, T. Vidal

Institutions: University of Alicante, Universidad Nacional de Educación a Distancia

Language: English

Topic: Approximation Theory and Sequence Spaces

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,290

Funders: Universidad de Alicante, Ministerio de Ciencia, Innovación y Universidades, European Commission, European Regional Development Fund