OAI/Analysis/CircleDomains/Probability/CompactMeasureMajorants.lean

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4 declarations, 0 contain sorry, 0 declared as axioms

Continuous test integrals on a compact family of finite measures and the uniform positive mass needed for the compact duality construction.

  1. lemma OAI.CircleDomainRigidity.compact_family_positive_mass line 17
  2. def OAI.CircleDomainRigidity.compactMeasureTestOperator line 25

    Source documentation

    The actual averaging operator used in compact-family separation.

    def compactMeasureTestOperator (S : Set (FiniteMeasure Z)) :
    (Z →ᵇ ℝ) →ₗ[ℝ] C(S,ℝ) where
…
  3. lemma OAI.CircleDomainRigidity.compactMeasureTestOperator_const line 37
  4. lemma OAI.CircleDomainRigidity.exists_compact_measure_constant_majorant line 43