Question: combine the product of two Sum

Hi,

I have two Sum as:

f:=t->Sum(A[m]*cos(m*w*t+m*t0),m=0..mm);

g:=phi->Sum(B[n]*cos(n*phi+n*phi0),n=0..nn);

I want to get the product of f*g as

h:=(t,phi)->Sum(Sum(C[m,n]*cos(m*w*t+n*phi+cmn),n=0..nn),m=0..mm);

Is it possible and how to do that ?

Thanks

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