OAI/Analysis/LipschitzHilbert/Fourier/AnnularCutoffConstruction.lean

GitHub source file

13 declarations, 0 contain sorry, 0 declared as axioms

Explicit real annular cutoffs and the low-pass difference underlying the geometric frequency partition. All supports stay inside fixed bands.

  1. def OAI.LipschitzHilbert.PacketRepresentation.reassemblyLowBump line 12
  2. def OAI.LipschitzHilbert.PacketRepresentation.reassemblyLow line 18
  3. theorem OAI.LipschitzHilbert.PacketRepresentation.reassemblyLow_apply line 21
  4. def OAI.LipschitzHilbert.PacketRepresentation.reassemblyOuterBump line 23
  5. def OAI.LipschitzHilbert.PacketRepresentation.reassemblyOuter line 29
  6. theorem OAI.LipschitzHilbert.PacketRepresentation.reassemblyOuter_apply line 32
  7. theorem OAI.LipschitzHilbert.PacketRepresentation.reassemblyOuter_support line 34
  8. theorem OAI.LipschitzHilbert.PacketRepresentation.reassemblyOuter_one line 44
  9. theorem OAI.LipschitzHilbert.PacketRepresentation.reassemblyLow_one line 50
  10. theorem OAI.LipschitzHilbert.PacketRepresentation.reassemblyLow_zero line 55
  11. def OAI.LipschitzHilbert.PacketRepresentation.reassemblyDifference line 60
  12. theorem OAI.LipschitzHilbert.PacketRepresentation.reassemblyDifference_small line 62
  13. theorem OAI.LipschitzHilbert.PacketRepresentation.reassemblyDifference_large line 67