OAI/Analysis/BoundedHochschild/FinitePhases.lean

GitHub source file

24 declarations, 0 contain sorry, 0 declared as axioms

Finite additive characters, phase matrices and orthogonality.

  1. def OAI.HochschildFinitePhase.character line 33
  2. lemma OAI.HochschildFinitePhase.character_apply line 39
  3. lemma OAI.HochschildFinitePhase.character_zero line 42
  4. lemma OAI.HochschildFinitePhase.character_add line 43
  5. lemma OAI.HochschildFinitePhase.character_norm line 46
  6. lemma OAI.HochschildFinitePhase.character_star line 48
  7. lemma OAI.HochschildFinitePhase.character_eq_one_iff line 53
  8. lemma OAI.HochschildFinitePhase.sum_character line 70
  9. lemma OAI.HochschildFinitePhase.orthogonality line 79
  10. lemma OAI.HochschildFinitePhase.character_parseval line 87
  11. def OAI.HochschildFinitePhase.frequency line 126
  12. abbrev OAI.HochschildFinitePhase.OffDiagonal line 128
  13. lemma OAI.HochschildFinitePhase.frequency_ne_zero line 130
  14. lemma OAI.HochschildFinitePhase.frequency_injective line 135
  15. def OAI.HochschildFinitePhase.extendedFrequency line 151
  16. lemma OAI.HochschildFinitePhase.extendedFrequency_injective line 155
  17. def OAI.HochschildFinitePhase.phase line 170
  18. lemma OAI.HochschildFinitePhase.phase_norm line 173
  19. lemma OAI.HochschildFinitePhase.character_single line 178
  20. lemma OAI.HochschildFinitePhase.character_frequency line 181
  21. lemma OAI.HochschildFinitePhase.offDiagonal_sum line 187
  22. lemma OAI.HochschildFinitePhase.phase_star_self line 198
  23. lemma OAI.HochschildFinitePhase.extended_sum line 201
  24. lemma OAI.HochschildFinitePhase.phase_parseval line 221