OAI/MathematicalPhysics/DefocusingNLS/Profile/RadianFourierContinuity.lean

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5 declarations, 0 contain sorry, 0 declared as axioms

Continuity and linearity of the radian Fourier integral

These statements apply directly to integrable physical functions, including localized expanding-torus data.

  1. theorem OAI.DefocusingNLS.radianFourierIntegral_eq_fourier line 18
  2. theorem OAI.DefocusingNLS.continuous_radianFourierIntegral line 30
  3. theorem OAI.DefocusingNLS.integrable_radianFourierIntegrand line 40
  4. theorem OAI.DefocusingNLS.radianFourierIntegral_add line 46
  5. theorem OAI.DefocusingNLS.radianFourierIntegral_smul line 53