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- What is convolution, how does it relate to inner product?
Convolution is a way of collecting like terms in a discrete or continuous sum For example, \begin{align}
- real analysis - On the closedness of $L^2$ under convolution . . .
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- real analysis - Convolution of two gaussian functions - Mathematics . . .
You should end up with a new gaussian : take the Fourier tranform of the convolution to get the product of two new gaussians (as the Fourier transform of a gaussian is still a gaussian), then take the inverse Fourier transform to get another gaussian $\endgroup$ –
- Proving commutativity of convolution $(f \\ast g)(x) = (g \\ast f)(x)$
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- Convolution $f*g$ is continuous - Mathematics Stack Exchange
Stack Exchange Network Stack Exchange network consists of 183 Q A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers
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