OAI/Analysis/OperatorAlgebra/ScalarTranslationConvolution.lean

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8 declarations, 0 contain sorry, 0 declared as axioms

Scalar translation integrals commute on integrable L² vectors. The proof uses bounded Schwartz test vectors, so every Fubini interchange has an explicit product-integrable majorant.

  1. lemma OAI.WeakPureInfiniteness.scalar_convolution_test_center line 17
  2. lemma OAI.WeakPureInfiniteness.scalar_convolution_test_swap line 24
  3. lemma OAI.WeakPureInfiniteness.scalar_translation_schwartz_inner line 55
  4. lemma OAI.WeakPureInfiniteness.integratedScalarTranslation_schwartz_inner line 67
  5. theorem OAI.WeakPureInfiniteness.integratedScalarTranslation_comm line 78
  6. lemma OAI.WeakPureInfiniteness.scalarVectorLp_translate line 98
  7. lemma OAI.WeakPureInfiniteness.scalarVectorLp_integratedTranslation line 109
  8. lemma OAI.WeakPureInfiniteness.scalarVectorLp_convolution_synthesis line 124