Convolution Integral
- To: mathgroup at smc.vnet.net
- Subject: [mg72698] Convolution Integral
- From: Mr Ajit Sen <senra99 at yahoo.co.uk>
- Date: Tue, 16 Jan 2007 02:07:09 -0500 (EST)
Dear Mathgroup,
Could anyone please help me with the following?
I'd like to find the convolution of 2 arbitrary
functions, f(t) and g(t) in the Laplace transform
sense,i.e.,
convolve[f[t],g[t]]=Integrate[f[u]*g[t-u],{u,0,t}]
Thus, I'd like convolve[Sin[t],Exp[-t]] to return
(Exp[-t]-Cos[t]+Sin[t])/2 .
My several attempts with function definitions such as
convolve[f_,g_]:=Integrate[f[u]*g[t-u],{u,0,t}]
convolve[f[t_],g[t_]]:=Integrate[f[u]*g[t-u],{u,0,t}]
convolve[f_,g_][t_]:=Integrate[f[u]*g[t-u],{u,0,t}]
all failed (because of the dummy u ? )
Thanks in advance.
Sen.
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