Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: 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?
    Thanks
     
  2. jcsd
  3. Mar 8, 2009 #2

    lurflurf

    User Avatar
    Homework Helper

    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
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook