OAI/MeasureTheory/Falconer/Radial/HyperplaneFrame.lean

GitHub source file

17 declarations, 0 contain sorry, 0 declared as axioms

Volume coordinates on a fixed normal's orthogonal hyperplane and fibers.

  1. def OAI.Falconer.hyperplaneProjection line 14
  2. def OAI.Falconer.hyperplaneFrame line 18
  3. theorem OAI.Falconer.contDiff_hyperplaneProjection line 22
  4. theorem OAI.Falconer.contDiff_hyperplaneFrame line 29
  5. theorem OAI.Falconer.hyperplaneProjection_frame line 38
  6. theorem OAI.Falconer.hyperplaneFrame_inner line 45
  7. theorem OAI.Falconer.hyperplaneFrame_reconstruct line 52
  8. theorem OAI.Falconer.hyperplaneFrame_volume line 65
  9. theorem OAI.Falconer.hyperplaneFrame_add line 69
  10. theorem OAI.Falconer.hyperplaneFrame_smul line 78
  11. theorem OAI.Falconer.hyperplaneFrame_axis line 87
  12. theorem OAI.Falconer.hyperplaneFrame_fiber line 96
  13. theorem OAI.Falconer.hyperplaneProjection_sub line 101
  14. theorem OAI.Falconer.hyperplaneSliceEmbedding_projection line 107
  15. theorem OAI.Falconer.hyperplaneProjection_dist line 115
  16. def OAI.Falconer.hyperplaneCoordinateMeasure line 122
  17. theorem OAI.Falconer.hyperplaneCoordinateMeasure_energy line 125