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January 3rd, 2019, 12:46 PM  #1 
Newbie Joined: Dec 2017 From: vienna Posts: 12 Thanks: 1  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. 
January 3rd, 2019, 05:40 PM  #2 
Global Moderator Joined: Dec 2006 Posts: 20,654 Thanks: 2087 
What definition of the Fourier transform should we use?

January 4th, 2019, 06:51 AM  #3 
Newbie Joined: Dec 2017 From: vienna Posts: 12 Thanks: 1 
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

January 4th, 2019, 06:53 AM  #4 
Newbie Joined: Dec 2017 From: vienna Posts: 12 Thanks: 1 
But still i miss a term somehow since fourier transform of heaviside is given by pi\delta(k)+1/ik


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