FourierTransform
- To: mathgroup at smc.vnet.net
- Subject: [mg57585] FourierTransform
- From: "Marcin Rak" <umrakmm at cc.umanitoba.ca>
- Date: Wed, 1 Jun 2005 06:04:03 -0400 (EDT)
- Sender: owner-wri-mathgroup at wolfram.com
Hi,
I was wondering what the exact mathematica equation of the following
Mathematica Command was:
FourierTransform[UnitStep[t],t,w,FourierParameters->{1,-1}]
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?
Thanks
MR