Theorems · Definition · measure theory
MeasureTheory.mlconvolution
{G : Type u_1} →
{mG : MeasurableSpace G} → [Mul G] → [Inv G] → (G → ENNReal) → (G → ENNReal) → MeasureTheory.Measure G → G → ENNRealMultiplicative convolution of functions.
- Defined in
- Mathlib.Analysis.LConvolution
- Cited by
- 16 results in Mathlib
- Foundations
- Depth 175 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement and proof · cited by 9,879
- MeasureTheory.lintegralproof · cited by 1,152
Cited by16
Results whose statement or proof uses this declaration.
- MeasureTheory.aemeasurable_mlconvolutionstatement · cited by 3
- MeasureTheory.mconv_eq_withDensity_mlconvolution_rnDerivstatement · cited by 3
- MeasureTheory.HaveLebesgueDecomposition.mconvproof · cited by 2
- MeasureTheory.rnDeriv_mconv'statement · cited by 1
- MeasureTheory.mconv_withDensity_eq_mlconvolutionstatement · cited by 1
- MeasureTheory.mconv_withDensity_eq_mlconvolution₀statement and proof · cited by 1
- MeasureTheory.mlconvolution_assoc₀statement · cited by 1
- MeasureTheory.measurable_mlconvolutionstatement · cited by 1
- MeasureTheory.rnDeriv_mconvstatement and proof · cited by 1
- ProbabilityTheory.IndepFun.pdf_mul_eq_mlconvolution_pdfstatement and proof · cited by 0
- ProbabilityTheory.IndepFun.pdf_mul_eq_mlconvolution_pdf'statement and proof · cited by 0
- MeasureTheory.mlconvolution_assocstatement · cited by 0