OAI/Analysis/LipschitzHilbert/Fourier/VerticalHorizontalCutoff.lean

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4 declarations, 0 contain sorry, 0 declared as axioms

Vertical Fourier projections commute with measurable horizontal cutoffs. The proof uses their actual convolution representatives.

  1. theorem OAI.LipschitzHilbert.PacketRepresentation.verticalL2Projection_eq_profile line 14
  2. theorem OAI.LipschitzHilbert.PacketRepresentation.verticalConvolution_horizontal_indicator line 24
  3. theorem OAI.LipschitzHilbert.PacketRepresentation.verticalConvolutionLp_horizontal_indicator line 39
  4. theorem OAI.LipschitzHilbert.PacketRepresentation.verticalL2Projection_horizontal_indicator line 58