OAI/Analysis/LipschitzHilbert/Estimates/AmplitudeApproximationL1.lean

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8 declarations, 0 contain sorry, 0 declared as axioms

Finite amplitude approximations also converge in L1. Null levels can be deleted without changing their almost-everywhere values.

  1. theorem OAI.LipschitzHilbert.amplitudeApprox_integrable line 13
  2. theorem OAI.LipschitzHilbert.amplitudeApprox_norm_le line 20
  3. theorem OAI.LipschitzHilbert.amplitudeApprox_l1_tendsto line 28
  4. theorem OAI.LipschitzHilbert.amplitudePiece_zero_ae line 45
  5. theorem OAI.LipschitzHilbert.amplitudeApprox_positive_filter_ae line 52
  6. theorem OAI.LipschitzHilbert.amplitudeApprox_positive_l1_tendsto line 67
  7. theorem OAI.LipschitzHilbert.amplitudeApprox_positive_tendsto_ae line 81
  8. theorem OAI.LipschitzHilbert.amplitudeApprox_coordinate_norm_le line 96