Theorems · Theorem · abstract harmonic analysis

MeasureTheory.Measure.lintegral_conv_eq_lintegral_sum

∀ {M : Type u_1} [inst : AddMonoid M] [inst_1 : MeasurableSpace M] [MeasurableAdd₂ M] {μ ν : MeasureTheory.Measure M}
  {f : M → ENNReal}, Measurable f → ∫⁻ (z : M), f z ∂μ.conv ν = ∫⁻ (z : M × M), f (z.1 + z.2) ∂μ.prod ν

Defined in

Mathlib.MeasureTheory.Group.Convolution

Cited by

2 results in Mathlib

Foundations

Depth 216 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddMonoidMeasurableSpaceMeasurableAdd₂