OAI/Analysis/LipschitzHilbert/Fourier/AnnularSchwartzResolution.lean

GitHub source file

5 declarations, 0 contain sorry, 0 declared as axioms

Strong L2 resolution of a Schwartz function by the concrete finite vertical annular sums. The zero vertical frequency is a null set.

  1. def OAI.LipschitzHilbert.PacketRepresentation.schwartzAnnularSum line 14
  2. theorem OAI.LipschitzHilbert.PacketRepresentation.schwartzAnnularSum_fourier line 18
  3. theorem OAI.LipschitzHilbert.PacketRepresentation.schwartzAnnularSum_sub_fourier line 26
  4. theorem OAI.LipschitzHilbert.PacketRepresentation.schwartzAnnularSum_energy_tendsto line 32
  5. theorem OAI.LipschitzHilbert.PacketRepresentation.schwartzAnnularSum_Lp_tendsto line 64