Questions tagged [deconvolution]

For questions on deconvolution, the resolution of a convolution function into the functions from which it was formed in order to separate their effects.

Deconvolution is the resolution of a convolution function into the functions from which it was formed in order to separate their effects.

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Fredholm equation with unknown Kernel / De-convolution

I'm wondering if the following integral equation has any hope of an algebraic solution: $\frac{2}{(x-2)^2}=\int_0^{\frac{1}{2}} f(x-s) f(s) \, ds$, where $f(\cdot)$ is unknown. This is a Fredholm-type equation but with an unknown kernel. The helpful…