Theorems · Theorem · harmonic analysis
AddCircle.integral_haarAddCircle
∀ {T : ℝ} [hT : Fact (0 < T)] {E : Type u_1} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E]
{f : AddCircle T → E}, ∫ (t : AddCircle T), f t ∂AddCircle.haarAddCircle = T⁻¹ • ∫ (t : AddCircle T), f t- Defined in
- Mathlib.Analysis.Fourier.AddCircle
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 253 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
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
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- MeasureTheory.Measureproof · cited by 10,939
- Factstatement and proof · cited by 2,726
- LT.lt.leproof · cited by 2,189
- MeasureTheory.integralstatement and proof · cited by 1,779
- LT.lt.ne'proof · cited by 1,417
- MeasureTheory.MeasureSpace.volumestatement · cited by 1,323
- ENNReal.ofRealproof · cited by 863
- AddSubgroup.zmultiplesstatement · cited by 493
- Fact.outproof · cited by 328
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.sum_sq_norm_coeff_eq_circleAverageproof · cited by 1