Is there any good everyday application of a convolution of 3 one-dimensional functions? How does that work? Trying to get some intuition around it. Something that maybe looks like: F ⚬ G ⚬ H= ∫ ∫ ∫f ⚬ g ⚬ h (I imagine there’d be 3 params for the pairs fg, gh, fh...?)
Crap I suspect it would actually be a 3x3 matrix to model what I’m thinking of due to autoconvolution and asymmetry. So [ff fg fh gf gg gh hf hg hh] Roughly: stream of 3 interacting time series events
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It's been a while, but I remember plenty of nonlinear optics and laser scenarios involving such a scenario. Raman effect, plasmon switches, parametric oscillation, second harmonic generation
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