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Math Help - Fourier coefficients of real functions are real

  1. #1
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    Fourier coefficients of real functions are real

    Hello. I am asked to show that fourier coefficients of a function that just takes real values a_n,b_n are real.
    It seems pretty obvious but I can't find a proof,
    Any help?

    Thank you very much!!
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  2. #2
    MHF Contributor
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    Re: Fourier coefficients of real functions are real

    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 05:06 PM.
    Thanks from topsquark
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