Sign up ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

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

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

share|cite|improve this question
See Fourier Transform. Can you follow the derivation? – Amzoti Dec 23 '12 at 6:07
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. – NicNic8 Dec 23 '12 at 6:14
@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... – Fabian Dec 23 '12 at 6:21
You can check the result using WA – Amzoti Dec 23 '12 at 6:33
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! – Amzoti Dec 23 '12 at 6:44

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.