OAI/Analysis/LipschitzHilbert/Estimates/ShearedLatticePeriodization.lean

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12 declarations, 0 contain sorry, 0 declared as axioms

Exact periodization over the translated sheared box lattice used in the continuous packet representation.

  1. def OAI.LipschitzHilbert.PacketRepresentation.latticeHom line 18
  2. def OAI.LipschitzHilbert.PacketRepresentation.latticeCell line 23
  3. theorem OAI.LipschitzHilbert.PacketRepresentation.latticeHom_injective line 26
  4. theorem OAI.LipschitzHilbert.PacketRepresentation.latticeCell_measurable line 38
  5. theorem OAI.LipschitzHilbert.PacketRepresentation.latticeCell_unique line 42
  6. theorem OAI.LipschitzHilbert.PacketRepresentation.latticeCell_fundamental line 61
  7. theorem OAI.LipschitzHilbert.PacketRepresentation.sheared_lattice_periodization line 77
  8. theorem OAI.LipschitzHilbert.PacketRepresentation.latticeCell_volume line 103
  9. def OAI.LipschitzHilbert.PacketRepresentation.latticeAverage line 115
  10. theorem OAI.LipschitzHilbert.PacketRepresentation.latticeAverage_probability line 118
  11. theorem OAI.LipschitzHilbert.PacketRepresentation.integral_latticeAverage line 126
  12. theorem OAI.LipschitzHilbert.PacketRepresentation.sheared_lattice_summable line 133