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January 3rd, 2019, 12:46 PM   #1
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Heaviside function

Hi guys, can anyone give me an appropriate way to get the Fourier transform of the Heaviside function in the sense of distributions?
Thanks guys.

Last edited by skipjack; January 3rd, 2019 at 05:37 PM.
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January 3rd, 2019, 05:40 PM   #2
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What definition of the Fourier transform should we use?
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January 4th, 2019, 06:51 AM   #3
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well it s quite crutial here ,but i believe that one uses \hat{H}(\phi)=H(\hat{\phi}) ,for phi a schwarz function and H tempered distribution
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January 4th, 2019, 06:53 AM   #4
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But still i miss a term somehow since fourier transform of heaviside is given by pi\delta(k)+1/ik
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