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Re: Change multiplication operations into convolution

• To: mathgroup at smc.vnet.net
• Subject: [mg73607] Re: [mg73587] Change multiplication operations into convolution
• From: Bob Hanlon <hanlonr at cox.net>
• Date: Fri, 23 Feb 2007 04:27:52 -0500 (EST)
• Reply-to: hanlonr at cox.net

C1 F1[t] F2[t] + C2 F3[t] F4[t] F1[t] /. Times -> CircleTimes /.
  CircleTimes[a_?AtomQ, f__] :> a*CircleTimes[f]


Bob Hanlon

---- "Zhao wrote: 
> 
> If I want to change the multiplication operations  into convolution
> operations in an arbitrary function such as
> C1 F1[t] F2[t] + C2 F3[t] F4[t] F1[t],
> where Fi(t) represents functions of t and Ci represents constant, into
> C1 F1[t] * F2[t] + C2 F3[t] * F4[t] * F1[t], where "*" indicate
> convolution.
> 
> any good elegant way to do it? High appreciations!
> 
> Liang