Services & Resources / Wolfram Forums
MathGroup Archive
*Archive Index
*Ask about this page
*Print this page
*Give us feedback
*Sign up for the Wolfram Insider

MathGroup Archive 2007

[Date Index] [Thread Index] [Author Index]

Search the Archive

Re: FourierTransform and removable singularities

  • To: mathgroup at
  • Subject: [mg75310] Re: FourierTransform and removable singularities
  • From: Jens-Peer Kuska <kuska at>
  • Date: Wed, 25 Apr 2007 05:28:35 -0400 (EDT)
  • Organization: Uni Leipzig
  • References: <f0kbmk$qvt$>
  • Reply-to: kuska at


Limit[FourierTransform[DiracDelta[t - a]*(Sin[
       t]/t), t, w] // FullSimplify, a -> 0]


Roman wrote:
> It seems to me that Mathematica 5.2 is not careful enough when doing
> Fourier transforms of functions with delta functions at removable
> singularities: if you call
>     FourierTransform[DiracDelta[t], t, w]
> you get the right answer,
>     1/Sqrt[2*Pi]
> But if you call something of the sort of
>     FourierTransform[DiracDelta[t]*(Sin[t]/t), t, w]
> which has a removable singularity at the point where the Dirac delta
> function acts, the answer is zero, which is wrong.
> Does anyone know how to resolve this by reformulating the problem? (a
> workaround)
> Cheers!
> Roman.

  • Prev by Date: Re: CrossProduct in Spherical Coordinates
  • Next by Date: Re: Outputting to file with fixed decimal digits
  • Previous by thread: FourierTransform and removable singularities
  • Next by thread: Re: FourierTransform and removable singularities