OAI/Analysis/LipschitzHilbert/Packets/ConvolutionPacketSpectrum.lean

GitHub source file

4 declarations, 0 contain sorry, 0 declared as axioms

Translation, reflection, and conjugation for the actual convolution packets. The analyzing packet retains the original positive-frequency support; reflection and conjugation cancel their frequency reversals.

  1. theorem OAI.LipschitzHilbert.PacketRepresentation.synthesisWave_fourier line 14
  2. theorem OAI.LipschitzHilbert.PacketRepresentation.analyzingWave_fourier line 33
  3. theorem OAI.LipschitzHilbert.PacketRepresentation.synthesisWave_spectrum line 54
  4. theorem OAI.LipschitzHilbert.PacketRepresentation.analyzingWave_spectrum line 64