OAI/MathematicalPhysics/DefocusingNLS/Linear/ExpandingSmoothFilter.lean

GitHub source file

7 declarations, 0 contain sorry, 0 declared as axioms

Schwartz convolution is the exact smooth Fourier filter on expanding tori

  1. def OAI.DefocusingNLS.expandingPhysicalContinuous line 16
  2. theorem OAI.DefocusingNLS.expandingPhysicalContinuous_apply line 23
  3. theorem OAI.DefocusingNLS.expandingPhysicalContinuous_norm_le line 31
  4. def OAI.DefocusingNLS.expandingSchwartzFilter line 37
  5. theorem OAI.DefocusingNLS.expandingSchwartzFilter_apply line 42
  6. theorem OAI.DefocusingNLS.expandingSchwartzFilter_physical line 46
  7. theorem OAI.DefocusingNLS.expandingSchwartzFilter_ball line 62