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This is the interpretation that leads you to imagine what a fractional Fourier transform might be: a rotation other than 90 degrees in the vector space you desc
by alanbernstein 5y ago
This is the interpretation that leads you to imagine what a fractional Fourier transform might be: a rotation other than 90 degrees in the vector space you described. Interesting, if esoteric.
- kortex 5y agoFor those who may not have heard of it: https://en.m.wikipedia.org/wiki/Linear_canonical_transformation https://en.m.wikipedia.org/wiki/Linear_canonical_transformat... Neatly generalizes and ties together all of your favorite integral transforms and has weird connections to virtually every branch of mathematics.
- BlueTemplar 5y agoI was wondering recently whether some kind of 45° rotation transform could be used to represent equally well both "sides" of Heisenberg's unsharpness principle ?