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MathGroup Archive 2007

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InverseFourierTransform strange behaviour

  • To: mathgroup at smc.vnet.net
  • Subject: [mg82137] InverseFourierTransform strange behaviour
  • From: roby.nowak at gmail.com
  • Date: Sat, 13 Oct 2007 03:47:47 -0400 (EDT)

Hi all,

I am trying to do the InverseFourierTransform on an even and real
valued function.
because of the real an even properties of the function the IFT should
produce a real and even result.

but Mathematica 6.0.1.0 gives a even and pure imaginary (erroneous) result:

In[1]:= 2 Sqrt[2/Pi] Exp[(w/2)^2] Sin[w]/w;
InverseFourierTransform[%, w, x]

Out[2]= -I (Erfi[1 - x] + Erfi[1 + x])



trying to FT the (erroneous) result lets Mathematica hang endless in the
calculation (until aborted).

In[3]:= FourierTransform[%, x, w]

Any hints, is this a bug, am I missing something ?

thx robert



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