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This is a question on taking the Fourier transform of a function.

How does one find the fourier transform of $f$, where $f(t) = |t|$?

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    See [**Fourier Transform**](http://www.thefouriertransform.com/pairs/absT.php). Can you follow the derivation?2012-12-23
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    This helps a lot; thanks. I'm surprised that we'd have to deal with derivatives of dirac deltas to solve this problem; I thought it would be simpler than that since it came on a midterm.2012-12-23
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    @user24205: without any additional trick you can define the Fourier transform only when $\int dt\,f(t)e^{i\omega t}$ converges. For your example, this integral is diverging as it stands...2012-12-23
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    You can check the result using [**WA**](http://www.wolframalpha.com/input/?i=fourier+transform+abs%28t%29)2012-12-23
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    It boils down thinking about how use the signum function to express the absolute value and then using the definitions for Fourier Transform. I would go through the example and make sure you can follow the entire derivation. Have fun!2012-12-23

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