OAI/MathematicalPhysics/DefocusingNLS/Spectrum/SpectralRadialGaugeEnergy.lean

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7 declarations, 0 contain sorry, 0 declared as axioms

The fixed-ball physical normalization controls the full weighted gauge energy, including the angular term and the regular origin.

  1. def OAI.DefocusingNLS.spectralRadialEnergyDensity line 13
  2. theorem OAI.DefocusingNLS.spectralRadialEnergyDensity_eq line 17
  3. theorem OAI.DefocusingNLS.spectralRadialEnergyDensity_continuous line 23
  4. theorem OAI.DefocusingNLS.spectralRadialGaugeEnergy_pointwise line 32
  5. theorem OAI.DefocusingNLS.spectralRadialGaugeEnergy_integral line 46
  6. theorem OAI.DefocusingNLS.spectralGaugeCrossEnergy_le_full line 67
  7. theorem OAI.DefocusingNLS.spectralGaugeCrossEnergy_integral_le line 77