OAI/Geometry/PeriodicTiling/ScalarAverage.lean

GitHub source file

14 declarations, 0 contain sorry, 0 declared as axioms

  1. def OAI.PeriodicTilingThree.complexAverage line 18
  2. def OAI.PeriodicTilingThree.vectorAverage line 21
  3. theorem OAI.PeriodicTilingThree.complexAverage_eq_vectorAverage line 25
  4. theorem OAI.PeriodicTilingThree.complexAverage_zero line 30
  5. theorem OAI.PeriodicTilingThree.complexAverage_add line 33
  6. theorem OAI.PeriodicTilingThree.complexAverage_sub line 37
  7. theorem OAI.PeriodicTilingThree.complexAverage_const line 41
  8. theorem OAI.PeriodicTilingThree.complexAverage_mul_const line 47
  9. theorem OAI.PeriodicTilingThree.complexAverage_const_mul line 51
  10. theorem OAI.PeriodicTilingThree.norm_complexAverage line 56
  11. theorem OAI.PeriodicTilingThree.norm_complexAverage_le line 60
  12. theorem OAI.PeriodicTilingThree.norm_geometric_sum_le line 76
  13. theorem OAI.PeriodicTilingThree.complexAverage_geometric_tendsto line 84
  14. theorem OAI.PeriodicTilingThree.complexAverage_const_mul_geometric_tendsto line 94