OAI/Analysis/LipschitzHilbert/Fourier/NarrowBandCutoff.lean

GitHub source file

14 declarations, 0 contain sorry, 0 declared as axioms

A fixed nonzero, real and even narrow cutoff for the p=2 band-to-full reduction. Its positive part is in [1,101/100].

  1. def OAI.LipschitzHilbert.PacketRepresentation.narrowBandBump line 11
  2. def OAI.LipschitzHilbert.PacketRepresentation.narrowBandPositive line 17
  3. theorem OAI.LipschitzHilbert.PacketRepresentation.narrowBandPositive_apply line 20
  4. theorem OAI.LipschitzHilbert.PacketRepresentation.narrowBandPositive_support line 22
  5. theorem OAI.LipschitzHilbert.PacketRepresentation.narrowBandPositive_band line 33
  6. theorem OAI.LipschitzHilbert.PacketRepresentation.narrowBandPositive_center line 37
  7. theorem OAI.LipschitzHilbert.PacketRepresentation.narrowBandPositive_real line 42
  8. def OAI.LipschitzHilbert.PacketRepresentation.narrowBandProfile line 45
  9. theorem OAI.LipschitzHilbert.PacketRepresentation.narrowBandProfile_apply line 48
  10. theorem OAI.LipschitzHilbert.PacketRepresentation.narrowBandProfile_even line 54
  11. theorem OAI.LipschitzHilbert.PacketRepresentation.narrowBandProfile_nonneg line 57
  12. theorem OAI.LipschitzHilbert.PacketRepresentation.narrowBandProfile_real line 61
  13. theorem OAI.LipschitzHilbert.PacketRepresentation.narrowBandProfile_center line 64
  14. theorem OAI.LipschitzHilbert.PacketRepresentation.narrowBandProfile_support line 71