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Comment by colanderman

3 years ago

That is mathematically true but not practically. Though indeed the Gaussian kernel has lots of zeros [1], in actuality, (a) the zeros themselves are at points, not regions, and therefore of little consequence, and (b) in practice the noise generated from reamplifying frequencies near these zeros can be minimized via techniques such as Wiener deconvolution [2].

[1] https://en.wikipedia.org/wiki/Window_function#Gaussian_windo...

[2] https://en.wikipedia.org/wiki/Wiener_deconvolution