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defining a function of functions

  • To: mathgroup at smc.vnet.net
  • Subject: [mg110463] defining a function of functions
  • From: J Davis <texasautiger at gmail.com>
  • Date: Sat, 19 Jun 2010 07:49:15 -0400 (EDT)

I want to define an inner product function such as

(here mylist is a specified list and L is a specified constant)

innerprod[f_, g_] = Sum[f[k]Conjugate[g[k]]Part[mylist,k],{k,1,L}]

This works fine but now I need to apply it in a situation where f is a
function of 2 variables while g is a function of only one variable,
i.e. I want to compute something like the inner product of f[2,n] and
g[n].

Of course, I want the ability to freely vary the first input of f.

I have accomplish this before rather easily but I'm presently drawing
a blank.

Thanks for your help.

Best,
JD


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