OAI/Analysis/ModularTheory/WeightedGaussianKernel.lean

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4 declarations, 0 contain sorry, 0 declared as axioms

A normalized Gaussian whose angular Fourier transform is the bounded regularization of exp(q/2). The normalization is chosen algebraically so no choice of a real square root enters the later Tomita calculation.

  1. def OAI.BoundedRecovery.weightedGaussianKernel line 15
  2. lemma OAI.BoundedRecovery.weightedGaussianKernel_integrable line 19
  3. lemma OAI.BoundedRecovery.weightedGaussianKernel_fourier line 24
  4. lemma OAI.BoundedRecovery.spectralFourierCutoff_weightedGaussian line 54