(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Consider the vector space of square integrable complex-valued functions

in one dimension V = L^2(R) = {f(x) : interal|f(x)|^2dx < ∞}. Show that

<f|g> = integral f(x)*g(x)dx defines a scalar product on this vector space.

3. The attempt at a solution

I actually have no clue where I even start with this question. I have not learned the Laplace function before, though I have a basic idea of how it works. Any help on how I might go at this question would be very appreciated.

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# Homework Help: Laplace Function Question

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