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MathGroup Archive 2001

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Bug in FourierTransform?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg31065] Bug in FourierTransform?
  • From: Daniel Arteaga <darteaga at ffn.ub.es>
  • Date: Sat, 6 Oct 2001 03:32:47 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

Hi,

Mathematica hangs up when trying to compute the Fourier transform of

F[X_, Y_] := 
  E^(-100 + 20*X - 2*X^2 - 10*Y - Y^2/2) + 
    E^(-100 - 2*X^2 - 10*Y - Y^2/2 + 10*(10 + Y)) + 
    E^(-200 + 20*X - 2*X^2 - 10*Y - Y^2/2 + 10*(2*X + Y)) + 
    E^(-200 - 2*X^2 - 10*Y - Y^2/2 + 10*(10 + Y) + 10*(2*X + Y))

FourierTransform[F[X,Y],Y,P]

(keeps running forever)

However, it computes very fast the Fourier transform of each term
separately. I am using Mathematica 4.1 in Windows 2000. Mathematica 2.2
computed correctly this fourier transform.

Any idea?

Daniel Arteaga


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