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Jump discontinuity with fourier series

  1. Mar 8, 2009 #1
    Hi all,
    I couldnt find any proof of the following statement: The Fourier series expansion of f(x), which has a discontinuity at y, takes on the mean of the left and right limits
    i.e. f(y)= (1/2)(f(y+)+f(y-))

    is there anyone who can help me?
  2. jcsd
  3. Mar 8, 2009 #2


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    Have you tried looking in a book?
  4. Mar 8, 2009 #3
    Yes I looked in Hassani, Arfken and Diprima but I couldnt find
    Can anyone suggest other books or web sites?
    Last edited: Mar 8, 2009
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