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Home Uncategorized What is odd extension in Fourier series? What is even extension? How did this come from?

What is odd extension in Fourier series? What is even extension? How did this come from?

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roughly speaking, Fourier series is a Fourier transform on compact Abel groups, which is better than the general locally compact case. If it is a compact Abel group, then the duality of is discrete, so the above Haar measure is a counting measure. At this time, the integral becomes summation, and the inverse Fourier transform can be written in the form of summation, that is, Fourier series.

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