Symbolic Fourier Transform

*To*: mathgroup at smc.vnet.net*Subject*: [mg26476] Symbolic Fourier Transform*From*: Blimbaum Jerry DLPC <BlimbaumJE at ncsc.navy.mil>*Date*: Fri, 22 Dec 2000 22:46:13 -0500 (EST)*Sender*: owner-wri-mathgroup at wolfram.com

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