Theorems · Definition · abstract harmonic analysis
MeasureTheory.Measure.conv
{M : Type u_1} →
[AddMonoid M] →
[inst : MeasurableSpace M] → MeasureTheory.Measure M → MeasureTheory.Measure M → MeasureTheory.Measure MAdditive convolution of measures.
- Defined in
- Mathlib.MeasureTheory.Group.Convolution
- Cited by
- 41 results in Mathlib
- Foundations
- Depth 214 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddMonoidMeasurableSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- AddMonoidstatement and proof · cited by 2,864
- MeasureTheory.Measure.mapproof · cited by 858
- MeasureTheory.Measure.prodproof · cited by 353
Cited by41
Results whose statement or proof uses this declaration.
- ProbabilityTheory.IndepFun.map_add_eq_map_conv_map₀'statement and proof · cited by 6
- ProbabilityTheory.IndepFun.map_add_eq_map_conv_map₀statement · cited by 4
- ProbabilityTheory.IndepFun.hasLaw_addstatement and proof · cited by 3
- MeasureTheory.integral_convstatement and proof · cited by 3
- MeasureTheory.conv_eq_withDensity_lconvolution_rnDerivstatement and proof · cited by 3
- MeasureTheory.Measure.map_conv_addMonoidHomstatement · cited by 3
- MeasureTheory.Measure.conv_absolutelyContinuousstatement · cited by 3
- MeasureTheory.Measure.conv_diracstatement · cited by 2
- MeasureTheory.charFun_convstatement and proof · cited by 2
- MeasureTheory.Measure.lintegral_convstatement · cited by 2
- ProbabilityTheory.poissonMeasure_conv_poissonMeasurestatement and proof · cited by 2
- MeasureTheory.Measure.lintegral_conv_eq_lintegral_sumstatement · cited by 2