Theorems · Theorem · abstract harmonic analysis

MeasureTheory.Measure.conv_absolutelyContinuous

∀ {M : Type u_1} [inst : AddMonoid M] [inst_1 : MeasurableSpace M] [MeasurableAdd₂ M] {μ ν ρ : MeasureTheory.Measure M}
  [ρ.IsAddLeftInvariant] [MeasureTheory.SFinite ν], ν.AbsolutelyContinuous ρ → (μ.conv ν).AbsolutelyContinuous ρ

Defined in

Mathlib.MeasureTheory.Group.Convolution

Cited by

3 results in Mathlib

Foundations

Depth 218 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddMonoidMeasurableSpaceMeasurableAdd₂MeasureTheory.Measure.IsAddLeftInvariantMeasureTheory.SFinite