Re: Re: Different results with FourierTransform
- To: mathgroup at smc.vnet.net
- Subject: [mg97894] Re: [mg97882] Re: Different results with FourierTransform
- From: Daniel Lichtblau <danl at wolfram.com>
- Date: Wed, 25 Mar 2009 05:42:03 -0500 (EST)
- References: <email@example.com> <firstname.lastname@example.org> <200903241034.FAA19949@smc.vnet.net>
schochet123 at gmail.com wrote:
> Unfortunately, there appears to be a bug in Mathematica's calculation
> InverseFourierTransform of Tanh[x], as the original poster pointed
> out. The fact that the answer obtained is wrong can be seen from the
> fact that the answer is not odd, which contradicts the fact that the
> FourierTransform and InverseFourierTransform of odd functions are odd.
> Sorry if some people see this message twice; when I originally posted
> it via thunderbird my message showed up in thunderbird on my local
> site but not in google groups.
Moderated group, takes maybe a day for messages to go out.
Devendra Kapadia located the bug in a special case handler (applicable
when we have integral convergence at infinity, modulo a constant) and
fixed it in the development Mathematica. Turns out to be a missplaced
minus sign. From his note to me last week:
(ExpToTrig[-Exp[$FFC*I*s*t] should be ExpToTrig[Exp[-$FFC*I*s*t])
Was my bug from 4-5 years ago.
[Steve should not be surprised; he may recall me taking an occasional
snooze in physics 112, where we covered Fourier transforms.]
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