OAI/MeasureTheory/FalconerCompletion/Sphere/SpherePlaneWave.lean

GitHub source file

24 declarations, 0 contain sorry, 0 declared as axioms

Canonical spherical measures and differential identities.

  1. def OAI.Attempt4FullFar.spherePlaneWaveND line 17
  2. lemma OAI.Attempt4FullFar.spherePlaneWaveND_contDiff line 21
  3. lemma OAI.Attempt4FullFar.angularDerivativeND_planeWave line 30
  4. def OAI.Attempt4FullFar.sphereAxisIntegralND line 46
  5. def OAI.Attempt4FullFar.smoothPhaseReciprocalND line 50
  6. lemma OAI.Attempt4FullFar.smoothPhaseReciprocalND_contDiff line 54
  7. lemma OAI.Attempt4FullFar.smoothPhaseReciprocalND_cancel line 63
  8. lemma OAI.Attempt4FullFar.smoothPhaseReciprocalND_bound line 72
  9. lemma OAI.Attempt4FullFar.angularDerivativeND_zero_region line 112
  10. def OAI.Attempt4FullFar.angularAdjointND line 142
  11. lemma OAI.Attempt4FullFar.angularAdjointND_contDiff line 146
  12. lemma OAI.Attempt4FullFar.angularAdjointND_support line 151
  13. lemma OAI.Attempt4FullFar.angularAdjointND_bound line 163
  14. lemma OAI.Attempt4FullFar.sphereAxisIntegralND_norm_le line 186
  15. lemma OAI.Attempt4FullFar.sphereAxisIntegralND_adjoint line 195
  16. theorem OAI.Attempt4FullFar.sphere_nonstationary_aux line 235
  17. theorem OAI.Attempt4FullFar.sphere_nonstationary_uniform line 273
  18. def OAI.Attempt4FullFar.capRotationND line 304
  19. lemma OAI.Attempt4FullFar.capRotationND_apply line 308
  20. lemma OAI.Attempt4FullFar.capRotationND_skew line 312
  21. lemma OAI.Attempt4FullFar.capRotationND_norm_le line 316
  22. lemma OAI.Attempt4FullFar.capRotationND_center line 320
  23. theorem OAI.Attempt4FullFar.capRotationND_phase_lower line 324
  24. theorem OAI.Attempt4FullFar.sphere_cap_nonstationary_uniform line 364