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Re: FourierTransform of Sign^2 ?

• To: mathgroup at smc.vnet.net
• Subject: [mg80048] Re: [mg79997] FourierTransform of Sign^2 ?
• From: Sseziwa Mukasa <mukasa at jeol.com>
• Date: Sat, 11 Aug 2007 02:12:44 -0400 (EDT)
• References: <200708100552.BAA10934@smc.vnet.net>

On Aug 10, 2007, at 1:52 AM, Jung-Tsung Shen wrote:

> 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?

v5.2 on a Mac gives

In[1]:=
FourierTransform[Sign[y] Sign[y], y, q]
Out[1]=
Sqrt[2 Pi] DiracDelta[q]

Regards,

Ssezi

• References:
  • FourierTransform of Sign^2 ?
    • From: "Jung-Tsung Shen" <jushen@gmail.com>