We know that in quantum mechanics, momentum space is the fourier transform of position space (and vice versa)
And also, in time-series analysis, that frequency (of cycles) is the fourier transform of the distribution of all cycle lengths.
What about electromagnetic radiation? Is the distribution of frequencies the Fourier transform of the distribution of wavelengths?
Is it physically feasible to think of a distribution of positions (each position value with a certain count), and then to take a fourier transform of that, and end up with a distribution of momentum values? Even in JPG compression, you have frequency and position (each position value has a certain count that corresponds to the color value on a scale of $0$ to $255$)