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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