OAI/Analysis/LipschitzHilbert/Fourier/VerticalConvolutionPVLimit.lean

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3 declarations, 0 contain sorry, 0 declared as axioms

Vertical convolution commutes with the limit of symmetric truncations on Schwartz inputs. Domination comes from the global derivative bound and does not use a full-frequency Hilbert estimate.

  1. theorem OAI.LipschitzHilbert.PacketRepresentation.verticalConvolution_shortSharp_tendsto line 16
  2. def OAI.LipschitzHilbert.PacketRepresentation.principalValueProfileCommutator line 40
  3. theorem OAI.LipschitzHilbert.PacketRepresentation.sharpVerticalCommutator_tendsto line 45