Hello. I am asked to show that fourier coefficients of a function that just takes real values are real. It seems pretty obvious but I can't find a proof, Any help? Thank you very much!!
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it's not true. For example the 2 coefficients of $f(t)=\sin(\omega_c t)$ are $a_1 = a_{-1} = \dfrac 1 {2 \imath}$
Last edited by romsek; April 2nd 2014 at 04:06 PM.
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