Theorems · Definition · harmonic analysis
AddCircle.haarAddCircle
{T : ℝ} → [hT : Fact (0 < T)] → MeasureTheory.Measure (AddCircle T)Haar measure on the additive circle, normalised to have total measure 1.
- Defined in
- Mathlib.Analysis.Fourier.AddCircle
- Cited by
- 28 results in Mathlib
- Foundations
- Depth 177 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Fact
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- MeasureTheory.Measurestatement · cited by 10,939
- Top.topproof · cited by 9,680
- Factstatement and proof · cited by 2,726
- AddSubgroup.zmultiplesstatement · cited by 493
- AddCirclestatement · cited by 189
- MeasureTheory.Measure.addHaarMeasureproof · cited by 21
Cited by31
Results whose statement or proof uses this declaration.
- fourierCoeffproof · cited by 26
- fourierLpstatement and proof · cited by 9
- fourierBasisstatement · cited by 5
- fourierCoeff_eq_intervalIntegralproof · cited by 4
- orthonormal_fourierstatement and proof · cited by 3
- coe_fourierBasisstatement · cited by 3
- fourierCoeff.const_smulproof · cited by 3
- AddCircle.volume_eq_smul_haarAddCirclestatement · cited by 3
- hasSum_sq_fourierCoeffstatement and proof · cited by 2
- fourierCoeff_congr_aestatement and proof · cited by 2
- fourierCoeff_toLpstatement and proof · cited by 2
- MeasureTheory.memLp_haarAddCircle_iffstatement and proof · cited by 2