OAI/MathematicalPhysics/DefocusingNLS/Spectrum/SpectralRegularKernel.lean

GitHub source file

12 declarations, 0 contain sorry, 0 declared as axioms

The nonsingular integral kernel for a regular angular spectral mode at the origin.

  1. def OAI.DefocusingNLS.spectralRegularAverage line 12
  2. def OAI.DefocusingNLS.spectralRegularPrimitive line 16
  3. theorem OAI.DefocusingNLS.spectralRegularAverage_continuous line 19
  4. theorem OAI.DefocusingNLS.spectralRegularPrimitive_hasDerivAt line 25
  5. theorem OAI.DefocusingNLS.spectralRegularPrimitive_continuous line 34
  6. theorem OAI.DefocusingNLS.spectralRegularAverage_bound line 38
  7. theorem OAI.DefocusingNLS.spectralRegularPrimitive_bound line 60
  8. theorem OAI.DefocusingNLS.spectralRegularAverage_add line 79
  9. theorem OAI.DefocusingNLS.spectralRegularAverage_smul line 94
  10. theorem OAI.DefocusingNLS.spectralRegularPrimitive_add line 102
  11. theorem OAI.DefocusingNLS.spectralRegularPrimitive_smul line 111
  12. theorem OAI.DefocusingNLS.spectralRegularAverage_scaling line 119