Re: Fourier and InverseFourier

*To*: mathgroup at smc.vnet.net*Subject*: [mg75636] Re: Fourier and InverseFourier*From*: rob <josh2499 at hotmail.com>*Date*: Mon, 7 May 2007 05:35:17 -0400 (EDT)*References*: <f1c4i8$h4v$1@smc.vnet.net>

Bill Rowe wrote: > On 5/2/07 at 3:56 AM, josh2499 at hotmail.com (rob) wrote: > > >>Hi, thanks for responding. No, I'm not sure it exists. I tried >>Exp[-t^2] and it doesn't work either. I haven't yet found a case >>where InverseFourierTransform[] works so I suspect I'm still doing >>something wrong. > > > Are you certain you've not previously defined one or more of the > variables before attempting the InverseTransform? I have no > difficulty with eitehr Exp[-t] or Exp[-t^2] here. That is: > > In[1]:= > InverseFourierTransform[Exp[-t], t, w] > > Out[1]= > Sqrt[2*Pi]*DiracDelta[w - I] > > In[2]:= > InverseFourierTransform[Exp[-t^2], t, w] > > Out[2]= > 1/(E^(w^2/4)*Sqrt[2]) > > In[3]:= > $Version > > Out[3]= > 5.2 for Mac OS X (June 20, 2005) > -- > To reply via email subtract one hundred and four > Here's what doesn't work for me: fs = FourierTransform[UnitStep[t]*Sin[t], t, w] fe = FourierTransform[UnitStep[t]*Exp[-t], t, w] x3[t_] := InverseFourierTransform[fs*fe, w, t] Plot[x3[t], {t, 0, 15}, PlotRange -> All] What do you get? Thanks.