OAI/NumberTheory/CubicMoment/Estimates/NormProfileOperator.lean

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The fixed radial lift and trace Fourier transform form a continuous linear operator. Thus the finite profile cost is controlled by finitely many seminorms of the original one-dimensional cutoff.

  1. lemma OAI.CubicFirstMoment.normSq_hasTemperateGrowth line 13
  2. lemma OAI.CubicFirstMoment.normSq_polynomial_growth line 18
  3. def OAI.CubicFirstMoment.normProfileLiftCLM line 25
  4. def OAI.CubicFirstMoment.normProfileFourierCLM line 28
  5. lemma OAI.CubicFirstMoment.normProfileFourierCLM_apply line 35
  6. theorem OAI.CubicFirstMoment.normProfileFourier_finite_seminorm line 46