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Are there any other spaces like Fourier space in which one can more physical information than configuration space? In a summer school about scattering amplitudes, someone told me that this relation between twister space and scattering amplitudes is like the correspondence between Fourier space and configuration space!

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  • $\begingroup$ Every diagonalizable linear operator has an associated eigenspace in which the operator is well-behaved. Fourier space is just the eigenspace of the Fourier transform, and there are many other common operators that have this property (e.g. the Laplace transform, creation/annihilation operators, etc.). As far as twistor space goes, I don't have enough experience in GR to say for sure, but I believe the same is true in some sense. $\endgroup$ Commented Jun 20, 2017 at 16:29
  • $\begingroup$ This post (v1) seems to be a list question. $\endgroup$
    – Qmechanic
    Commented Jun 20, 2017 at 16:45

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