OAI/Analysis/LipschitzHilbert/Estimates/RestrictedTestApproximation.lean

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5 declarations, 0 contain sorry, 0 declared as axioms

Bounded measurable restricted tests admit unit-bounded Schwartz approximants in every open neighbourhood of their finite-measure support.

  1. theorem OAI.LipschitzHilbert.PacketRepresentation.restrictedTest_integrable line 13
  2. theorem OAI.LipschitzHilbert.PacketRepresentation.restrictedTest_cutoff_pointwise line 25
  3. theorem OAI.LipschitzHilbert.PacketRepresentation.restrictedTest_compact_integral_error line 40
  4. theorem OAI.LipschitzHilbert.PacketRepresentation.restrictedTest_compact_error line 58
  5. theorem OAI.LipschitzHilbert.PacketRepresentation.exists_schwartz_approx_restricted line 67