OAI/Analysis/LipschitzHilbert/Fourier/LineConvolutionEnergy.lean

GitHub source file

6 declarations, 0 contain sorry, 0 declared as axioms

The one-dimensional convolution energy bound for measurable L2 functions.

  1. def OAI.LipschitzHilbert.PacketRepresentation.lineConvolution line 13
  2. theorem OAI.LipschitzHilbert.PacketRepresentation.lineTranslation_measurePreserving line 15
  3. theorem OAI.LipschitzHilbert.PacketRepresentation.lineConvolution_measurable line 19
  4. theorem OAI.LipschitzHilbert.PacketRepresentation.lineConvolution_energy_joint_integrable line 26
  5. theorem OAI.LipschitzHilbert.PacketRepresentation.lineConvolution_pointwise_energy line 46
  6. theorem OAI.LipschitzHilbert.PacketRepresentation.lineConvolution_energy_bound line 60