OAI/Analysis/LipschitzHilbert/Fourier/PlanarSliceFourierBasic.lean

GitHub source file

8 declarations, 0 contain sorry, 0 declared as axioms

Product-Lebesgue Fourier transforms and transverse partial transforms of general planar Schwartz functions. The phase is exp(-2πi(xξ+yη)).

  1. def OAI.LipschitzHilbert.planarFourier line 17
  2. def OAI.LipschitzHilbert.planarSliceFourier line 21
  3. theorem OAI.LipschitzHilbert.planarSliceFourier_eq line 24
  4. theorem OAI.LipschitzHilbert.planar_shear_integrable line 30
  5. theorem OAI.LipschitzHilbert.planar_slice_integrand_integrable line 34
  6. theorem OAI.LipschitzHilbert.planarSliceFourier_integrable line 44
  7. theorem OAI.LipschitzHilbert.planar_slice_uniform_bound line 50
  8. theorem OAI.LipschitzHilbert.planarSliceFourier_continuous line 64