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by nicwilson 915 days ago
It is, because wavenumber and position are distinct variables and are orthogonal to each other. FT turn position into wavenumber (positional frequency) and wavenumber into negative position:

[ 0 1] [x] [ ω]

          = 
[-1 0] [ω] [-x]

see also https://en.wikipedia.org/wiki/Linear_canonical_transformatio...

the rotation matrix [[ 0 1], [-1 0]] is a 90 degree rotation.

1 comments

Ok, now I see it!