Transpose of convolution with an $L^2$ kernel on $\mathbb R^d$: $\int (K*f)\,g=\int\big(\int K(x-y)g(x)\,dx\big)f(y)\,dy$

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Transpose of convolution with an $L^2$ kernel on $\mathbb R^d$: $\int (K*f)\,g=\int\big(\int K(x-y)g(x)\,dx\big)f(y)\,dy$ · Prove2Me