OAI/Analysis/LipschitzHilbert/Estimates/HilbertTimeProfile.lean

GitHub source file

7 declarations, 0 contain sorry, 0 declared as axioms

The actual annular inverse Fourier kernel telescopes to a normalized Schwartz profile. This gives a uniform sharp truncation comparison.

  1. def OAI.LipschitzHilbert.PacketRepresentation.hilbertTimeKernel line 14
  2. def OAI.LipschitzHilbert.PacketRepresentation.hilbertTimeProfile line 16
  3. theorem OAI.LipschitzHilbert.PacketRepresentation.hilbertTimeProfile_zero line 18
  4. theorem OAI.LipschitzHilbert.PacketRepresentation.schwartzDilation_fourierInv line 25
  5. theorem OAI.LipschitzHilbert.PacketRepresentation.schwartz_fourierInv_deriv line 33
  6. theorem OAI.LipschitzHilbert.PacketRepresentation.hilbertTimeKernel_profile line 47
  7. theorem OAI.LipschitzHilbert.PacketRepresentation.hilbertTimeKernel_sharp_integral line 71