OAI/Analysis/ModularTheory/WeightedFourierLimit.lean

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6 declarations, 0 contain sorry, 0 declared as axioms

The weighted Fourier limit on the actual Tomita graph. At each frequency, the regularized orbit converges to the half-graph image, with its explicit exponential factor. The later L² passage still requires its integrable bound.

  1. def OAI.WeakPureInfiniteness.modularTomitaKernel line 17
  2. lemma OAI.WeakPureInfiniteness.modularTomitaKernel_integrable line 19
  3. lemma OAI.WeakPureInfiniteness.modularTomitaKernel_profile line 22
  4. lemma OAI.WeakPureInfiniteness.translatedHalfGaussian_eq line 38
  5. lemma OAI.WeakPureInfiniteness.modularTomitaKernel_calculus line 50
  6. lemma OAI.WeakPureInfiniteness.modularTomitaKernel_fourier_limit line 59