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MathGroup Archive 2007

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FourierTransform of Sign^2 ?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg79997] FourierTransform of Sign^2 ?
  • From: "Jung-Tsung Shen" <jushen at gmail.com>
  • Date: Fri, 10 Aug 2007 01:52:16 -0400 (EDT)

I tried to evaluate the following Fourier Transform:

FourierTransform[Sign[y] Sign[y], y, q]

where Sign is the sign function. Instead of Sqrt[2 Pi]*DiracDelta[q],
Mathematica (v. 5.0, Mac) gives

-Sqrt[2 Pi]*DiracDelta[q]

with a minus sign. Is this a bug or I am doing something wrong here?

Thanks.

JT


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