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)
I am trying to do the InverseFourierTransform on an even and real
because of the real an even properties of the function the IFT should
produce a real and even result.
but Mathematica 18.104.22.168 gives a even and pure imaginary (erroneous) result:
In:= 2 Sqrt[2/Pi] Exp[(w/2)^2] Sin[w]/w;
InverseFourierTransform[%, w, x]
Out= -I (Erfi[1 - x] + Erfi[1 + x])
trying to FT the (erroneous) result lets Mathematica hang endless in the
calculation (until aborted).
In:= FourierTransform[%, x, w]
Any hints, is this a bug, am I missing something ?
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