Theorems · Theorem · harmonic analysis
fourierSubalgebra_separatesPoints
∀ {T : ℝ} [hT : Fact (0 < T)], fourierSubalgebra.SeparatesPointsThe subalgebra of C(AddCircle T, ℂ) generated by fourier n for n ∈ ℤ
separates points.
- Defined in
- Mathlib.Analysis.Fourier.AddCircle
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 206 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.
Cites18
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 and proof · cited by 5,565
- Factstatement and proof · cited by 2,726
- ContinuousMapstatement and proof · cited by 2,491
- LT.lt.ne'proof · cited by 1,417
- AddSubgroup.zmultiplesstatement · cited by 493
- AddCirclestatement and proof · cited by 189
- Algebra.subset_adjoinproof · cited by 109
- fourierproof · cited by 62
- StarSubalgebra.toSubalgebrastatement · cited by 58
- AddCircle.toCircleproof · cited by 41
Cited by1
Results whose statement or proof uses this declaration.
- fourierSubalgebra_closure_eq_topproof · cited by 1