Theorems · Theorem · harmonic analysis
fourier_zero
∀ {T : ℝ} {x : AddCircle T}, (fourier 0) x = 1- Defined in
- Mathlib.Analysis.Fourier.AddCircle
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 203 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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 · cited by 5,565
- ContinuousMapstatement · cited by 2,491
- zero_smulproof · cited by 716
- AddSubgroup.zmultiplesstatement · cited by 493
- AddCirclestatement and proof · cited by 189
- fourierstatement · cited by 62
- AddCircle.toCircleproof · cited by 41
- AddCircle.toCircle_zeroproof · cited by 9
Cited by5
Results whose statement or proof uses this declaration.
- UnitAddTorus.mFourierSubalgebra_coeproof · cited by 1
- fourierSubalgebra_coeproof · cited by 1
- UnitAddTorus.mFourier_zeroproof · cited by 1
- bernoulliFourierCoeff_zeroproof · cited by 1
- UnitAddTorus.mFourier_singleproof · cited by 1