OAI/Analysis/LipschitzHilbert/Fourier/SmoothPrincipalValueLinear.lean

GitHub source file

5 declarations, 0 contain sorry, 0 declared as axioms

Linearity of the actual symmetric principal value on smooth inputs.

  1. theorem OAI.LipschitzHilbert.shortIntegrand_intervalIntegrable line 12
  2. theorem OAI.LipschitzHilbert.shortTransform_add line 28
  3. theorem OAI.LipschitzHilbert.shortTransform_smul line 47
  4. theorem OAI.LipschitzHilbert.smoothPrincipalValue_add line 60
  5. theorem OAI.LipschitzHilbert.smoothPrincipalValue_smul line 74