OAI/MeasureTheory/Falconer/Estimates/WeightedInverse.lean

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3 declarations, 0 contain sorry, 0 declared as axioms

The stationary inverse with the original distance weight

After multiplication by ‖z‖^(-(d-1)/2), the only spatial powers in the finite expansion have integer exponents. These are exactly the powers handled by the spatial Fourier separation.

  1. def OAI.Falconer.weightedInverseDisplacementSum line 17
  2. theorem OAI.Falconer.weightedInverseDisplacementSum_eq line 25
  3. theorem OAI.Falconer.exists_weighted_displacement_inverse_order line 38