OAI/MeasureTheory/Falconer/Radial/HyperplaneEnergy.lean

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7 declarations, 0 contain sorry, 0 declared as axioms

Riesz-energy moments for actual orthogonal hyperplane projections.

  1. def OAI.Falconer.hyperplaneProjectedMeasure line 12
  2. theorem OAI.Falconer.hyperplane_projected_energy_formula line 16
  3. def OAI.Falconer.euclideanDifferenceEnergyMeasure line 30
  4. theorem OAI.Falconer.euclideanDifferenceEnergyMeasure_mass line 34
  5. theorem OAI.Falconer.hyperplane_projected_energy_weighted line 40
  6. theorem OAI.Falconer.hyperplane_projected_energy_measurable line 56
  7. theorem OAI.Falconer.hyperplane_projected_energy_moment line 65