OAI/Analysis/KadisonSimilarity/Representation/DyadicPhases.lean

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9 declarations, 0 contain sorry, 0 declared as axioms

Finite dyadic roots of unity, with a refinement estimate. These are the scalar coefficients for the norm-convergent Haar-unitary construction.

  1. def OAI.KadisonSimilarity.dyadicRank line 15
  2. theorem OAI.KadisonSimilarity.sum_range_pairs line 19
  3. theorem OAI.KadisonSimilarity.sum_dyadicRank line 29
  4. def OAI.KadisonSimilarity.dyadicPhase line 47
  5. theorem OAI.KadisonSimilarity.norm_dyadicPhase line 51
  6. theorem OAI.KadisonSimilarity.dyadicPhase_eq_root_pow line 54
  7. theorem OAI.KadisonSimilarity.sum_dyadicPhase_pow_eq_zero line 63
  8. theorem OAI.KadisonSimilarity.norm_exp_phase_sub_le line 88
  9. theorem OAI.KadisonSimilarity.dyadicPhase_refine_bound line 101