Theorems · Theorem · harmonic analysis
fourier_one
∀ {T : ℝ} {x : AddCircle T}, (fourier 1) x = ↑x.toCircle- Defined in
- Mathlib.Analysis.Fourier.AddCircle
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 204 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Realstatement and proof · cited by 25,697
- Complexstatement and proof · cited by 5,565
- Submonoidstatement · cited by 3,086
- ContinuousMapstatement · cited by 2,491
- AddSubgroup.zmultiplesstatement · cited by 493
- AddCirclestatement and proof · cited by 189
- Submonoid.unitSpherestatement · cited by 85
- fourierstatement · cited by 62
- one_zsmulproof · cited by 59
- AddCircle.toCirclestatement and proof · cited by 41
- fourier_applyproof · cited by 7
Cited by2
Results whose statement or proof uses this declaration.
- fourierSubalgebra_separatesPointsproof · cited by 1
- UnitAddTorus.mFourierSubalgebra_separatesPointsproof · cited by 1