FW: Symbolic Fourier Transform

*To*: mathgroup at smc.vnet.net*Subject*: [mg26498] FW: [mg26476] Symbolic Fourier Transform*From*: Blimbaum Jerry DLPC <BlimbaumJE at ncsc.navy.mil>*Date*: Thu, 28 Dec 2000 21:31:31 -0500 (EST)*Sender*: owner-wri-mathgroup at wolfram.com

-----Original Message----- From: Blimbaum Jerry DLPC To: mathgroup at smc.vnet.net Subject: [mg26498] RE: [mg26476] Symbolic Fourier Transform Sorry..I meant to say that I expected (-I w) FourierTransform[f[x,t],t,w] not (-I w)^2,etc.. for the f[x,t] example...jb -----Original Message----- From: Blimbaum Jerry DLPC [mailto:BlimbaumJE at ncsc.navy.mil] To: mathgroup at smc.vnet.net Subject: [mg26498] [mg26476] Symbolic Fourier Transform If you type in FourierTransform[ D[ f [t] ,t ],t,w] you get back - I w FourierTransform[ f[t], t, w ], however if you type in FourierTransform[ D[ f[x,t],t], t, w] you get back FourierTransform[ f ^(0,1)[x,t], t, w] whereas I expected (-I w)^2 FourierTransform[f[x,t], t, w]. I tried the same ideas with Laplace Transform but there I got back what I expected,namely: -f[0] + s LaplaceTransform[f[t],t,s] and -f[x,0] + s LaplaceTransform[ f[x,t],t,s] Why the differences? thanks...Jerry Blimbaum NSWC Panama City, Fl