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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