Abstract
In this paper we will get a class of functional equations involving a countable set of terms, summed by the well known Bochner–Fejér summation procedure, which are closely associated with the set of almost periodic functions. We will show that the zeros of a prefixed almost periodic function determine analytic solutions of such a functional equation associated with it, and we will obtain other solutions which are analytic or meromorphic on a certain domain.
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J. M. Sepulcre was supported by PGC2018-097960-B-C22 (MCIU/AEI/ERDF, UE).
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Sepulcre, J.M., Vidal, T. A class of functional equations associated with almost periodic functions. Aequat. Math. 95, 91–105 (2021). https://doi.org/10.1007/s00010-020-00732-3
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DOI: https://doi.org/10.1007/s00010-020-00732-3
Keywords
- Almost periodic functions
- Dirichlet series
- Bochner–Fejér summation method
- Zeros of analytic functions
- Functional equations