Theorems · Theorem · harmonic analysis
fourierCoeff_fourier
∀ {T : ℝ} [hT : Fact (0 < T)] (n : ℤ), fourierCoeff ⇑(fourier n) = Pi.single n 1- Defined in
- Mathlib.Analysis.Fourier.AddCircle
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 271 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.
Cites28
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
- Factstatement and proof · cited by 2,726
- ContinuousMapstatement · cited by 2,491
- eq_or_neproof · cited by 1,117
- Inner.innerproof · cited by 1,089
- MeasureTheory.AEEqFunproof · cited by 856
- MeasureTheory.Lpproof · cited by 715
- one_powproof · cited by 521
- Pi.singlestatement and proof · cited by 518
- AddSubgroup.zmultiplesstatement · cited by 493
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.fourierCoeff_toAddCircleproof · cited by 3