OAI/Analysis/LipschitzHilbert/Fourier/NormalizedBandProjection.lean

GitHub source file

8 declarations, 0 contain sorry, 0 declared as axioms

A fixed normalization of the original vertical cutoff controls its L1, L2 and uniform sizes without changing its frequency band or strip.

  1. def OAI.LipschitzHilbert.PacketRepresentation.verticalProjectionCost line 14
  2. theorem OAI.LipschitzHilbert.PacketRepresentation.verticalProjectionCost_pos line 17
  3. def OAI.LipschitzHilbert.PacketRepresentation.normalizedBandProjection line 22
  4. theorem OAI.LipschitzHilbert.PacketRepresentation.normalizedBandProjection_apply line 26
  5. theorem OAI.LipschitzHilbert.PacketRepresentation.normalizedBandProjection_sizes line 33
  6. theorem OAI.LipschitzHilbert.PacketRepresentation.normalizedBandProjection_uniform line 77
  7. theorem OAI.LipschitzHilbert.PacketRepresentation.normalizedBandProjection_band line 94
  8. theorem OAI.LipschitzHilbert.PacketRepresentation.normalizedBandProjection_support line 107