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Questions on the discrete and continuous Fourier analysis functions of Mathematica, as well as the FourierSeries` package.

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Fourier series fit doesn't consider different local maxima of the data

I'm trying to appropriately fit a fourier model to experimental data. But the problem is that the resulting fit doesn't consider the varying local maxima of the data. Here's the data: data={{0., 1.621 …
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