OAI/Analysis/LipschitzHilbert/Fourier/VerticalMoment.lean

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4 declarations, 0 contain sorry, 0 declared as axioms

Transfer horizontal moments through vertical averaging. In applications the first measure is a fixed expanded vertical interval and the second is the horizontal line interval.

  1. theorem OAI.LipschitzHilbert.lintegral_ofReal_average_swap line 16
  2. def OAI.LipschitzHilbert.verticalSquareEnergy line 30
  3. theorem OAI.LipschitzHilbert.verticalSquareEnergy_measurable line 34
  4. theorem OAI.LipschitzHilbert.verticalSquareEnergy_line_moment line 44