OAI/MathematicalPhysics/DefocusingNLS/Linear/SchwartzFrequencyCutoff.lean

GitHub source file

8 declarations, 0 contain sorry, 0 declared as axioms

A smooth frequency cutoff and its exact radian inverse Fourier kernel

  1. def OAI.DefocusingNLS.radianInverseKernel line 14
  2. theorem OAI.DefocusingNLS.radianFourierKernel_inverseKernel line 18
  3. def OAI.DefocusingNLS.smoothFrequencyCutoff line 26
  4. theorem OAI.DefocusingNLS.smoothFrequencyCutoff_apply line 31
  5. theorem OAI.DefocusingNLS.smoothFrequencyCutoff_one line 34
  6. theorem OAI.DefocusingNLS.smoothFrequencyCutoff_zero line 43
  7. theorem OAI.DefocusingNLS.smoothFrequencyCutoff_norm_le line 51
  8. theorem OAI.DefocusingNLS.one_sub_smoothFrequencyCutoff_norm_le line 57