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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

• Follow-Ups:
  • Re: FourierTransform of Sign^2 ?
    • From: Sseziwa Mukasa <mukasa@jeol.com>
  • Re: FourierTransform of Sign^2 ?
    • From: "Jung-Tsung Shen" <jushen@gmail.com>