MathGroup Archive 2005

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  • To: mathgroup at
  • Subject: [mg57585] FourierTransform
  • From: "Marcin Rak" <umrakmm at>
  • Date: Wed, 1 Jun 2005 06:04:03 -0400 (EDT)
  • Sender: owner-wri-mathgroup at


I was wondering what the exact mathematica equation of the following 
Mathematica Command was:


This gives -i/w + pie*DiracDelta[w]

which is correct.  However, when I substitute my UnitStep[t] function 
into the direct definition employed by FourierTransform, I don't get the 
same result.  ie

Integrate[UnitStep[t]*Exp[-i*w*t],{t,-infinity,infinity}] Doesn't give 
the same result, despite the fact that in section 3.5.11 of the 
Mathematica book it is defined as such?


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