How to compute tensor product between two functions

Question

Let $f$ and $g$ are two functions defined on $[0,1]$ and taking values in a Hilbert space $H$. Then how to define and compute the tensor product between $f$ and $g$, namely $f\otimes g$?

I know how to compute the tensor product between vectors and matrices (same as the kronecker product). But unable to do the same for functions.

Thanks.

Answer 1

$f \otimes g$ is the function $[0,1]^2 \to \mathbb C$ given by $(f \otimes g)(x,y) = f(x) g(y) $.