OAI/Analysis/LipschitzHilbert/Fourier/NormalizedSymbolFamily.lean

GitHub source file

10 declarations, 0 contain sorry, 0 declared as axioms

A single compactly supported master symbol for the normalized annular multipliers. Its slices have uniform Fourier coefficient bounds.

  1. def OAI.LipschitzHilbert.PacketRepresentation.masterArgument line 13
  2. theorem OAI.LipschitzHilbert.PacketRepresentation.masterArgument_temperate line 16
  3. def OAI.LipschitzHilbert.PacketRepresentation.masterCutoff line 29
  4. theorem OAI.LipschitzHilbert.PacketRepresentation.masterCutoff_one line 34
  5. def OAI.LipschitzHilbert.PacketRepresentation.masterSymbol line 41
  6. theorem OAI.LipschitzHilbert.PacketRepresentation.masterSymbol_apply line 45
  7. def OAI.LipschitzHilbert.PacketRepresentation.normalizedSchwartzSymbol line 51
  8. theorem OAI.LipschitzHilbert.PacketRepresentation.normalizedSchwartzSymbol_apply line 54
  9. theorem OAI.LipschitzHilbert.PacketRepresentation.normalizedSchwartzSymbol_one line 61
  10. theorem OAI.LipschitzHilbert.PacketRepresentation.normalizedSchwartzSymbol_uniform line 70