Solving Fourier Transform Problems with Wolfram Alpha

pedro_bb7
Messages
11
Reaction score
0
[PLAIN]http://img716.imageshack.us/img716/3663/semttulont.png

f(x) = 0 (|x| > 1)
= x² (|x| < 1)
I know that thing on integral is [F(x)]^2, but I have no clue what to do now.
 
Last edited by a moderator:
Physics news on Phys.org
Try applying Parseval's theorem.
 
vela said:
Try applying Parseval's theorem.

Thanks, that is the right way.
Could you check the answer for me? \frac{\pi}{5}
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
Back
Top