OAI/Analysis/RieszRectifiability/Kernel/NativeTruncationDecomposition.lean

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2 declarations, 0 contain sorry, 0 declared as axioms

Decomposition of native truncations

Global upper growth makes hard-truncated kernels integrable against square-integrable inputs, so truncation respects addition. On cells of finite mass, the same decomposition passes to means of scalar components of the resulting vector-valued transforms.

  1. theorem OAI.RieszRectifiability.truncated_add_of_globalGrowth line 22
  2. theorem OAI.RieszRectifiability.three_part_truncated_cellMean line 33