OAI/Analysis/LipschitzHilbert/Fourier/FiniteVerticalBins.lean

GitHub source file

10 declarations, 0 contain sorry, 0 declared as axioms

A concrete finite real square partition of a positive vertical band. Only bins meeting the original band are retained.

  1. def OAI.LipschitzHilbert.PacketRepresentation.verticalBinCenter line 12
  2. def OAI.LipschitzHilbert.PacketRepresentation.verticalBinWindow line 14
  3. theorem OAI.LipschitzHilbert.PacketRepresentation.verticalBinWindow_apply line 17
  4. theorem OAI.LipschitzHilbert.PacketRepresentation.verticalBinWindow_support line 24
  5. def OAI.LipschitzHilbert.PacketRepresentation.verticalBinLabels line 30
  6. theorem OAI.LipschitzHilbert.PacketRepresentation.verticalBinWindow_mem_labels line 34
  7. theorem OAI.LipschitzHilbert.PacketRepresentation.verticalBinWindow_sum_sq line 46
  8. theorem OAI.LipschitzHilbert.PacketRepresentation.verticalBinLabels_center_bounds line 61
  9. theorem OAI.LipschitzHilbert.PacketRepresentation.verticalBinLabels_admissible_centers line 66
  10. theorem OAI.LipschitzHilbert.PacketRepresentation.verticalBinLabels_card line 74