Jump discontinuity with fourier series

  • Thread starter yoq_bise
  • Start date
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
 

lurflurf

Homework Helper
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Have you tried looking in a book?
 
Yes I looked in Hassani, Arfken and Diprima but I couldnt find
Can anyone suggest other books or web sites?
 
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