OAI/Analysis/ModularRecovery/ModularCovariance.lean

GitHub source file

13 declarations, 0 contain sorry, 0 declared as axioms

Spatial Tomita conjugation and modular covariance.

  1. def OAI.BoundedRecovery.StandardModularData.jConjugate line 19
  2. lemma OAI.BoundedRecovery.StandardModularData.jConjugate_apply line 26
  3. lemma OAI.BoundedRecovery.StandardModularData.jConjugate_involutive line 29
  4. lemma OAI.BoundedRecovery.StandardModularData.normalizedFourier_on_dense line 35
  5. lemma OAI.BoundedRecovery.StandardModularData.normalizedFourier_spatial line 52
  6. lemma OAI.BoundedRecovery.StandardModularData.sigma_jConjugate_mem line 65
  7. lemma OAI.BoundedRecovery.StandardModularData.sigma_zero line 74
  8. lemma OAI.BoundedRecovery.StandardModularData.jConjugate_mem line 77
  9. lemma OAI.BoundedRecovery.StandardModularData.jConjugate_mem_commutant line 84
  10. lemma OAI.BoundedRecovery.StandardModularData.sigma_mem_of_fourier_positive line 90
  11. lemma OAI.BoundedRecovery.StandardModularData.sigma_add_time line 106
  12. lemma OAI.BoundedRecovery.StandardModularData.modular_covariance line 110
  13. lemma OAI.BoundedRecovery.StandardModularData.modular_covariance_iff line 132