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Re: Change multiplication operations into convolution operations

• To: mathgroup at smc.vnet.net
• Subject: [mg73605] Re: Change multiplication operations into convolution operations
• From: dh <dh at metrohm.ch>
• Date: Fri, 23 Feb 2007 04:26:45 -0500 (EST)
• References: <erjp4f$pt3$1@smc.vnet.net>

Hi Liang,

you coul e.g. try:

C1 F1[t] F2[t] + C2 F3[t] F4[t] F1[t] //. Times[c___, a_[t_], d___, 

b_[t_], e___] -> c d e a[t] \[Star] b[t]

Daniel



Zhao, Liang 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

> 

> 

>