On the $L^2$-norms of periodizations of functions

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/63267We prove that the $L^2([0,1]^d) \times SO(d))$ norm of periodizations of a function from $L^1(R^d)$ is equivalent to the $L^2(R^d)$ norm of the function itself in higher dimensions.Classical Analysis and ODEs42B99On the $L^2$-norms of periodizations of functionstext