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. ___________________________________________________________ Yahoo! Messenger - NEW crystal clear PC to PC calling worldwide with voicemail http://uk.messenger.yahoo.com