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arXiv · 1510.06313

Order of Magnitude of Fourier Coefficients for Almost Periodic Functions

Alec Train·Rohit Jain·Will Carlson
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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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Alec Train, Rohit Jain, Will Carlson. 2015-10-21. Order of Magnitude of Fourier Coefficients for Almost Periodic Functions. https://arxiv.org/abs/1510.06313

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