OAI/MeasureTheory/Falconer/Geometry/EuclideanMollifier.lean

GitHub source file

11 declarations, 0 contain sorry, 0 declared as axioms

Normalized compact smooth mollifiers in the source dimension.

  1. def OAI.Falconer.euclideanBump line 13
  2. def OAI.Falconer.euclideanMollifier line 19
  3. theorem OAI.Falconer.euclideanMollifier_nonneg line 22
  4. theorem OAI.Falconer.euclideanMollifier_smooth line 25
  5. theorem OAI.Falconer.euclideanMollifier_compact line 28
  6. theorem OAI.Falconer.euclideanMollifier_support line 31
  7. theorem OAI.Falconer.euclideanMollifier_integral line 35
  8. instance OAI.Falconer.euclideanMollifier_probability line 38
  9. theorem OAI.Falconer.euclideanMollifier_ae_ball line 47
  10. theorem OAI.Falconer.euclideanMollifier_test_tendsto line 56
  11. theorem OAI.Falconer.euclideanMollifier_energy_le line 74