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How to evaluate ?


Hi, Everybody,

Can anyone tell me how to get inverse Fourier transform of the following 
problem?

       Sqrt[T],        0=<|f|< (1-a)/(2T)
G(f)={
       Sqrt[T] Cos[(Pi T)/(2a) (|f|-(1-a)/(2T))], (1-a)/(2T) < |f| < (1+a)/(2T)

This problem is not easy one.  I have spend lots of time on it. I post it here
and hope someone will have a nice, quick and clean solution.

Thank you!



Yunbiao Wang
Hitachi America


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