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The convolution theorem states that the Fourier transform of the convolution of functions equals the pointwise multiplication of Fourier-transformed functions, i.e.: $$\mathcal{F}\{f*g\} = ... 1answer 116 views ### On using fourier transforms to solve the root of a convolution In continuation of Lower bounds of laplace transform of characteristic functions. My question is: Can anyone point out where i'm going wrong in the derivation below. It's been a while ... 1answer 176 views ### Is this a correct way to convert an convolution equation into differential/difference equation? For functions f,g,h that are defined over \mathbb{R}, suppose we have a convolution equation:$$ f = g * h. $$I would like to convert it into a differential equation. Is it correct that$$ ...
I have a basic question about how to show that convolution in dimension $n$ is commutative - or maybe it is rather a question about change of variables .. So on $\mathbb{R}$ I know how to show ...