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Fourier-series and periods

  1. Sep 6, 2008 #1
    1. The problem statement, all variables and given/known data
    I have the Fourier-series for the function:

    f(x) = x for -Pi < x < Pi.

    I know wish to find the Fourier-series for the function:

    g(x) = x for -p < x < p,

    where p is a random period.

    3. The attempt at a solution
    Ok, the obvious thing here is to use the result from f(x). If thought that if I define f(p*x/Pi) = g(x) = f(y), then I just insert x=y*Pi/p. But in the result of this exercise, they have an additional p/Pi in front of the sum. Where does this come from?
     
  2. jcsd
  3. Sep 6, 2008 #2
    I solved it - just substitute, and then you have a regular equation.. remember to make the substitution in the limit as well!
     
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