OAI/MathematicalPhysics/DefocusingNLS/Spectrum/SpectralTurningRegularizedWeight.lean

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9 declarations, 0 contain sorry, 0 declared as axioms

A continuous positive frequency weight agrees with the WKB weight away from the turn and remains nondegenerate on the scaled central interval.

  1. theorem OAI.DefocusingNLS.spectralComplexSqrt_norm line 12
  2. def OAI.DefocusingNLS.spectralTurningRegularizedWeight line 17
  3. theorem OAI.DefocusingNLS.spectralTurningRegularizedWeight_pos line 21
  4. theorem OAI.DefocusingNLS.spectralTurningRegularizedWeight_continuousOn line 25
  5. theorem OAI.DefocusingNLS.spectralTurningRegularizedWeight_eq_wkb line 33
  6. theorem OAI.DefocusingNLS.spectralTurningRegularizedWeight_scaled line 46
  7. theorem OAI.DefocusingNLS.spectralTurningRegularizedWeight_eq_of_frequency line 57
  8. theorem OAI.DefocusingNLS.spectralTurningRegularizedWeight_scaled_bounds line 77
  9. theorem OAI.DefocusingNLS.spectralLiouville_weight_sign line 93