Do the functions of the form $\psi(x)\phi(y)$ span $L^2(\mathbf{R}^6)$? Insert proper grammar here.
2026-03-28 09:32:59.1774690379
Canonical Separation of variables
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They do indeed. More generally, $L^p(P)\otimes L^p(Q) = L^p(P\times Q)$. A monograph on such seperated / tensor product representations is Hackbush's "Tensor Spaces and Numerical Tensor Calculus" (2012)