OAI/NumberTheory/CubicMoment/Angular/AngularWeightOperator.lean

GitHub source file

14 declarations, 0 contain sorry, 0 declared as axioms

A fixed continuous operator from logarithmic test functions to plane annuli. It makes the angular lattice bounds uniform over the given weights.

  1. def OAI.CubicFirstMoment.angularComplexCutoff line 13
  2. lemma OAI.CubicFirstMoment.angularComplexCutoff_compact line 15
  3. lemma OAI.CubicFirstMoment.angularComplexCutoff_smooth line 19
  4. lemma OAI.CubicFirstMoment.angularComplexCutoff_positive line 23
  5. lemma OAI.CubicFirstMoment.angularNormSq_temperate line 33
  6. lemma OAI.CubicFirstMoment.angularNormSq_growth line 39
  7. def OAI.CubicFirstMoment.angularWeightOperator line 47
  8. lemma OAI.CubicFirstMoment.angularWeightOperator_apply line 55
  9. lemma OAI.CubicFirstMoment.UniformLogWeights.annular_support line 66
  10. lemma OAI.CubicFirstMoment.angularWeightOperator_log_apply line 82
  11. theorem OAI.CubicFirstMoment.UniformLogWeights.angularAnnulus_bounded line 116
  12. def OAI.CubicFirstMoment.angularTraceFourierCLM line 140
  13. lemma OAI.CubicFirstMoment.angularTraceFourierCLM_apply line 145
  14. theorem OAI.CubicFirstMoment.UniformLogWeights.angularFourier_seminorm line 148