Theorems · Theorem · harmonic analysis
fourier_norm
∀ {T : ℝ} [inst : Fact (0 < T)] (n : ℤ), ‖fourier n‖ = 1- Defined in
- Mathlib.Analysis.Fourier.AddCircle
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 203 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.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Realstatement and proof · cited by 25,697
- Complexstatement · cited by 5,565
- Norm.normstatement and proof · cited by 5,413
- Factstatement and proof · cited by 2,726
- ContinuousMapstatement · cited by 2,491
- iSupproof · cited by 2,415
- AddSubgroup.zmultiplesstatement · cited by 493
- AddCirclestatement and proof · cited by 189
- fourierstatement and proof · cited by 62
- ciSup_constproof · cited by 43
- AddCircle.toCircleproof · cited by 41
Cited by1
Results whose statement or proof uses this declaration.
- hasSum_fourier_series_of_summableproof · cited by 1