Why do we use trig functions in Fourier transforms, and not other periodic functions? – math.stackexchange.com

Why do we use trig functions in Fourier transforms, and not other periodic functions? – math.stackexchange.com

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Why, when we perform Fourier transforms/decompositions, do we use sine/cosine waves (or more generally complex exponentials) and not other periodic functions? I understand that they form a complete ...

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