"The more general uncertainty principle, regarding Fourier transforms" by 3blue1brown https://youtube.com/watch?v=MBnnXbOM5S4 https://youtube.com/watch?v=MBnnXb

"The more general uncertainty principle, regarding Fourier transforms" by 3blue1brown https://youtube.com/watch?v=MBnnXbOM5S4 https://youtube.com/watch?v=MBnnXbOM5S4 From https://news.ycombinator.com/item?id=25190770#25194040 https://news.ycombinator.com/item?id=25190770#25194040 : > Convolution is in fact multiplication in Fourier space (this is the convolution theorem [1]) which says that Fourier transforms convert convolutions to products. 1. https://en.wikipedia.org/wiki/Convolution_theorem https://en.wikipedia.org/wiki/Convolution_theorem : >> In mathematics, the convolution theorem states that under suitable conditions the Fourier transform of a convolution of two functions (or signals) is the pointwise product of their Fourier transforms. More generally, convolution in one domain (e.g., time domain) equals point-wise multiplication in the other domain (e.g., frequency domain). Other versions of the convolution theorem are applicable to various Fourier-related transforms. "QFT and iQFT; Inverted Quantum Fourier Transform" https://en.wikipedia.org/wiki/Quantum_Fourier_transform https://en.wikipedia.org/wiki/Quantum_Fourier_transform