OAI/MathematicalPhysics/DefocusingNLS/Spectrum/SpectralWeightedProductLimit.lean

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3 declarations, 0 contain sorry, 0 declared as axioms

A vanishing weighted L2 factor times a bounded weighted L2 factor has vanishing pairing. The proof uses Young's inequality on the fixed interval.

  1. theorem OAI.DefocusingNLS.spectralNorm_young line 11
  2. theorem OAI.DefocusingNLS.spectralYoung_pairing_limit line 17
  3. theorem OAI.DefocusingNLS.spectralWeightedProduct_tendsto_zero line 35