Theorems · Theorem · measure theory
MeasureTheory.lconvolution_assoc
∀ {G : Type u_1} {mG : MeasurableSpace G} [inst : AddGroup G] [MeasurableAdd₂ G] [MeasurableNeg G]
{μ : MeasureTheory.Measure G} [μ.IsAddLeftInvariant] [MeasureTheory.SFinite μ] {f g k : G → ENNReal},
Measurable f →
Measurable g →
Measurable k →
MeasureTheory.lconvolution f (MeasureTheory.lconvolution g k μ) μ =
MeasureTheory.lconvolution (MeasureTheory.lconvolution f g μ) k μConvolution is associative.
- Defined in
- Mathlib.Analysis.LConvolution
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 231 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites12
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
- AddGroupstatement and proof · cited by 4,410
- Measurablestatement and proof · cited by 1,499
- MeasureTheory.SFinitestatement and proof · cited by 449
- Measurable.aemeasurableproof · cited by 304
- MeasurableAdd₂statement and proof · cited by 155
- MeasureTheory.Measure.IsAddLeftInvariantstatement and proof · cited by 148
- MeasurableNegstatement and proof · cited by 130
- MeasureTheory.lconvolutionstatement · cited by 16
- MeasureTheory.lconvolution_assoc₀proof · cited by 1
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