Plancherel identity $\|\hat g\|_{2}=\|g\|_{2}$ for $g\in L^1\cap L^2(\mathbb R^d)$ · Prove2Me

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Plancherel identity $\|\hat g\|_{2}=\|g\|_{2}$ for $g\in L^1\cap L^2(\mathbb R^d)$ · Prove2Me