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Comment by cowsandmilk

2 months ago

In the case of FFTs, no. Which is why I prefer the term Fourier space. I don’t like frequency domain because I frequently work with 3-D and 5–D FFTs while I’ve always felt frequency is connected to single dimension FFT.

Maybe something like "recurrence space" would be better. Frequency does have a physical interpretation which could be misconstrued, e.g. the FFT of a wave in the space domain yields the wavenumber in the independent variable, not the frequency.

The formal, general name is “Dual space” I think.

  • Unfortunately that’s very vague because there’s many notions of “dual space” within applied mathematics, even just considering the parts relevant to engineering applications.