OAI/NumberTheory/DirichletL/Detector/GramLatticeDecay.lean

GitHub source file

27 declarations, 0 contain sorry, 0 declared as axioms

  1. abbrev OAI.ProbeGramLatticeDecay.Joint line 12
  2. def OAI.ProbeGramLatticeDecay.point line 14
  3. def OAI.ProbeGramLatticeDecay.sourceControl line 16
  4. theorem OAI.ProbeGramLatticeDecay.sourceControl_nonneg line 19
  5. theorem OAI.ProbeGramLatticeDecay.norm_point_sq line 22
  6. theorem OAI.ProbeGramLatticeDecay.product_decay line 25
  7. def OAI.ProbeGramLatticeDecay.physicalPoint line 43
  8. theorem OAI.ProbeGramLatticeDecay.physicalPoint_eq_smul line 47
  9. theorem OAI.ProbeGramLatticeDecay.physical_summable line 52
  10. theorem OAI.ProbeGramLatticeDecay.physical_lattice_bound line 71
  11. abbrev OAI.ProbeGramLatticeDecay.DualIndex line 107
  12. def OAI.ProbeGramLatticeDecay.dualPoint line 109
  13. def OAI.ProbeGramLatticeDecay.dualRow line 112
  14. def OAI.ProbeGramLatticeDecay.dualCoordinates line 115
  15. theorem OAI.ProbeGramLatticeDecay.dualCoordinates_injective line 118
  16. theorem OAI.ProbeGramLatticeDecay.dualCoordinates_zero line 125
  17. theorem OAI.ProbeGramLatticeDecay.dualCoordinates_norm_le line 133
  18. theorem OAI.ProbeGramLatticeDecay.dualPoint_norm_pos line 156
  19. theorem OAI.ProbeGramLatticeDecay.dual_power_summable line 164
  20. def OAI.ProbeGramLatticeDecay.scaledDualPoint line 184
  21. theorem OAI.ProbeGramLatticeDecay.norm_scaledDualPoint line 188
  22. theorem OAI.ProbeGramLatticeDecay.fourier_seminorm_control line 202
  23. theorem OAI.ProbeGramLatticeDecay.scaledDual_decay line 216
  24. theorem OAI.ProbeGramLatticeDecay.dual_fourier_summable line 233
  25. theorem OAI.ProbeGramLatticeDecay.dual_fourier_lattice_bound line 243
  26. theorem OAI.ProbeGramLatticeDecay.sourceControl_mono line 271
  27. theorem OAI.ProbeGramLatticeDecay.joint_lattice_bounds line 275