Re: Problem with FourierTransform

*To*: mathgroup at smc.vnet.net*Subject*: [mg49929] Re: Problem with FourierTransform*From*: "Steve Luttrell" <steve_usenet at _removemefirst_luttrell.org.uk>*Date*: Fri, 6 Aug 2004 03:09:54 -0400 (EDT)*References*: <cetevp$6hf$1@smc.vnet.net>*Sender*: owner-wri-mathgroup at wolfram.com

This works OK in version 5.0.1. FourierTransform[Sin[t^2]/2 + 1/2, t, w] gives Sqrt[Pi/2]*DiracDelta[w] + (1/4)*(Cos[w^2/4] - Sin[w^2/4]) and FourierTransform[Sin[t^2/c]/2 + 1/2, t, w] gives Sqrt[Pi/2]*DiracDelta[w] - (I*(Cos[(c*w^2)/4] - I*Sin[(c*w^2)/4])*(Sqrt[I/c] - Sqrt[-(I/c)]*Cos[(c*w^2)/2] + (-(I/c))^(3/2)*c*Sin[(c*w^2)/2]))/(4*Sqrt[2]*Sqrt[1/c^2]) which reduces to the first case thus FullSimplify[% /. c -> 1] Steve Luttrell "Oliver" <ofr at interims.de> wrote in message news:cetevp$6hf$1 at smc.vnet.net... > Why doesn't this work: > This FT can be computed without problems > FourierTransform[Sin[t^2]/2+1/2] > But this one > FourierTransform[Sin[t^2/c]/2+1/2] > gives error: > Simplify::"fas": "Warning: self-contradictory > assumptions encountered." > Why? > > Oliver >