Question: comparison convolution and Serie Fourier coefficients

Hi,

I open a discussion about convolution and Fourier coefficients in Fourier series.

 

I have a function defined by f(x)=0 if x in [-Pi,0[ and 1 if x in [0,Pi[, of course f 2*Pi periodic function.

My goal is compare the Fourier coefficients of f*f ( * convolution ) and The Fourier Coefficient of f.

 

Thanks for your help.

 

 

 

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