OAI/Analysis/LipschitzHilbert/Fourier/SchwartzConjugation.lean

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5 declarations, 0 contain sorry, 0 declared as axioms

Complex conjugation reflects the Fourier support of an actual Schwartz function, and preserves its L2 norm and pointwise size.

  1. def OAI.LipschitzHilbert.schwartzConj line 14
  2. theorem OAI.LipschitzHilbert.schwartzConj_apply line 17
  3. theorem OAI.LipschitzHilbert.schwartzConj_involutive line 19
  4. theorem OAI.LipschitzHilbert.schwartzConj_norm line 23
  5. theorem OAI.LipschitzHilbert.planarFourier_conj line 26