OAI/Analysis/LipschitzHilbert/Fourier/FiniteTimeKernelMoment.lean

GitHub source file

8 declarations, 0 contain sorry, 0 declared as axioms

The first absolute moment of the retained time kernel is bounded by twice the largest scale, independently of the number of scales.

  1. def OAI.LipschitzHilbert.PacketRepresentation.finiteTimeKernel line 13
  2. theorem OAI.LipschitzHilbert.PacketRepresentation.schwartz_first_absolute_moment_integrable line 16
  3. theorem OAI.LipschitzHilbert.PacketRepresentation.scaledTimeKernel_moment1_pointwise line 20
  4. theorem OAI.LipschitzHilbert.PacketRepresentation.scaledTimeKernel_moment1_integrable line 26
  5. theorem OAI.LipschitzHilbert.PacketRepresentation.scaledTimeKernel_moment1 line 33
  6. theorem OAI.LipschitzHilbert.PacketRepresentation.finiteTimeKernel_measurable line 38
  7. theorem OAI.LipschitzHilbert.PacketRepresentation.finiteTimeKernel_integrable line 43
  8. theorem OAI.LipschitzHilbert.PacketRepresentation.finiteTimeKernel_moment1 line 48