Re: Fourier transform of exponential function
- To: mathgroup at smc.vnet.net
- Subject: [mg108638] Re: Fourier transform of exponential function
- From: dh <dh at metrohm.com>
- Date: Thu, 25 Mar 2010 06:21:00 -0500 (EST)
- References: <hofg7f$f89$1@smc.vnet.net>
Hi, there is no Fourier transform of Exp[-t]. For t->-Infinity the function is not bounded. Daniel On 25.03.2010 12:08, ALittleDog wrote: > I am trying to do a Fourier transform of a simple exponential > function, by using the following code: > FourierTransform[Exp[-t], t, =F9] > By Mahtematica 5.0, I obtain > \sqrt(2 Pi) DiracDelta[ I + =F9 ] > By Mathematica 7.0, I obtain a repetition of the original input as > FourierTransform[Exp[-t], t, =F9]. > > I search to look for a classical solution, but most of them are > talking about FourierTransform[Exp[-Abs[t]], t, =F9]. Indeed, what is > the classical solution of this problem? Why 5.0 version and 7.0 > version try to figure it out in a different manner? Thanks! > > > -- Daniel Huber Metrohm Ltd. Oberdorfstr. 68 CH-9100 Herisau Tel. +41 71 353 8585, Fax +41 71 353 8907 E-Mail:<mailto:dh at metrohm.com> Internet:<http://www.metrohm.com>