Quote:
Originally Posted by dudefromdayton
1. If your g's have a nice simple relationship, as in a polynomial, you can average your polynomials by averaging the coefficients. Distributive property. So it does matter... but you may do it either way and get the same answer.

Oh I see ... for some reasons, I was assuming the expansion being made on a basis of the Hilbert space.
Thanks, that clarifies!