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MathGroup Archive 2008

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Problem with FourierParameters

  • To: mathgroup at smc.vnet.net
  • Subject: [mg86998] Problem with FourierParameters
  • From: Peter Breitfeld <phbrf at t-online.de>
  • Date: Fri, 28 Mar 2008 03:17:40 -0500 (EST)

I get a wrong result using FourierParameters:

FourierTransform[f, x, w]
InverseFourierTransform[%, w, x]

gives

1/2 Sqrt[\[Pi]/2] (Sign[1 - w] + Sign[1 + w])
Sin[x]/x

which is what I expected. But with the setting of FourierParameters:

FourierTransform[f, x, w, FourierParameters -> {1, -1}]
InverseFourierTransform[%, w, x, FourierParameters -> {1, -1}]

gives

1/2 \[Pi] Sign[1 - w] + 1/2 \[Pi] Sign[1 + w]     <--- This is OK
0                                                 <--- Bug?

Other functions e.g. f=1/(1+x^2) transform correctly in both cases.

Gruss Peter
-- 
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Peter Breitfeld, Bad Saulgau, Germany -- http://www.pBreitfeld.de


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