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A new geometrical perspective on Bohr-equivalence of exponential polynomials

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Abstract

Based on Bohr’s equivalence relation for general Dirichlet series, in this paper we connect the families of equivalent exponential polynomials with a geometrical point of view related to lines in crystal-like structures. In particular we characterize this equivalence relation, and give an alternative proof of Bochner’s property referring to these functions, through this new geometrical perspective.

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Acknowledgements

The first author’s research was partially supported by PGC2018-097960-B-C22 (MCIU/AEI/ERDF, UE).

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  1. Department of Mathematics, University of Alicante, 03080, Alicante, Spain

    J. M. Sepulcre & T. Vidal

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  1. J. M. Sepulcre
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  2. T. Vidal
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Correspondence to J. M. Sepulcre.

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Sepulcre, J.M., Vidal, T. A new geometrical perspective on Bohr-equivalence of exponential polynomials. Anal.Math.Phys. 11, 55 (2021). https://doi.org/10.1007/s13324-021-00498-0

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  • DOI: https://doi.org/10.1007/s13324-021-00498-0

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