Order of Magnitude of Fourier Coefficients for Almost Periodic Functions

2015/10/21 by Alec Train, Rohit Jain, Train, Alec +3
Mathematics · #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #math.CA

paper · pdf · doi:10.48550/arxiv.1510.06313

arxiv created 2015/10/21 · arxiv updated 2015/10/22

Abstract

We provide an introduction of some basic facts of uniformly almost periodic functions, such as Fourier series representations. A result is then proved about Fourier coefficients which is a generalization of the purely periodic case. We then provide an application of our estimate to the Riemann-Zeta Function.

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