OAI/MathematicalPhysics/DefocusingNLS/Linear/SchwartzSamplingSum.lean

GitHub source file

6 declarations, 0 contain sorry, 0 declared as axioms

Finite sums of sampled physical annuli

Sampling respects the actual physical Fourier transform. Consequently the uniform annular estimate can be summed before passing to a full cutoff profile.

  1. def OAI.DefocusingNLS.schwartzTorusSamplingLinear line 17
  2. def OAI.DefocusingNLS.physicalSchwartzTorusSamplingLinear line 38
  3. theorem OAI.DefocusingNLS.physicalSchwartzTorusSamplingLinear_apply line 42
  4. theorem OAI.DefocusingNLS.schwartzTorusSample_physical_sum line 47
  5. theorem OAI.DefocusingNLS.schwartzTorusSample_physical_sum_norm_le line 53
  6. theorem OAI.DefocusingNLS.exists_cutoffProfileDyadicSum_bound line 63