Given a convolution:(adsbygoogle = window.adsbygoogle || []).push({});

\begin{equation}

\begin{split}

g(x) * h(x) &\doteq \int_{-\infty}^{\infty} g(z) h(x-z) dz

\end{split}

\end{equation}

Do ##z## and ##x## have to be independent? For example, can one set ##x=z+y## such that:

\begin{equation}

\begin{split}

\int_{-\infty}^{\infty} g(z) h(x-z) dz&=\int_{-\infty}^{\infty} g(z) h(y) dz

\end{split}

\end{equation}

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# I Independence of variables in Convolution

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