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world:exofourier
2023/11/14 18:37

Let be the -periodic function defined by for all . Find its Fourier coefficients and deduce the value of

Write its Fourier coefficients. Then, the function being symmetric, we have Morever, . Using twice the integration by parts, we get for all , The function being on subintervals and being locally integrable, we get for all , and taking , it comes

world/exofourier.txt · Last modified: 2022/03/16 07:40 (external edit)