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

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 perspect...

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Bibliographic Details
Published inAnnals of functional analysis Vol. 16; no. 4
Main Authors Sepulcre, J. M., Vidal, T.
Format Journal Article
LanguageEnglish
Published 01.10.2025
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ISSN2639-7390
2008-8752
DOI10.1007/s43034-025-00460-2

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Summary: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.
ISSN:2639-7390
2008-8752
DOI:10.1007/s43034-025-00460-2