OAI/Analysis/LipschitzHilbert/Fourier/LineLowHighCommutator.lean

GitHub source file

4 declarations, 0 contain sorry, 0 declared as axioms

The actual low/high contribution of the multiplier commutator. Both localization identities follow from the proved Fourier bands.

  1. def OAI.LipschitzHilbert.PacketRepresentation.lineSchwartzCommutator line 13
  2. theorem OAI.LipschitzHilbert.PacketRepresentation.lineSchwartzCommutator_localized line 17
  3. theorem OAI.LipschitzHilbert.PacketRepresentation.lowHighCommutator_localized line 30
  4. theorem OAI.LipschitzHilbert.PacketRepresentation.lowHighCommutator_energy line 60