Theorems · Definition · harmonic analysis
fourierSubalgebra
{T : ℝ} → StarSubalgebra ℂ C(AddCircle T, ℂ)The star subalgebra of C(AddCircle T, ℂ) generated by fourier n for n ∈ ℤ .
- Defined in
- Mathlib.Analysis.Fourier.AddCircle
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 205 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.
- Realstatement and proof · cited by 25,697
- Complexstatement and proof · cited by 5,565
- Set.rangeproof · cited by 4,705
- ContinuousMapstatement and proof · cited by 2,491
- Subalgebraproof · cited by 1,353
- Algebra.adjoinproof · cited by 535
- AddSubgroup.zmultiplesstatement · cited by 493
- StarSubalgebrastatement · cited by 194
- AddCirclestatement and proof · cited by 189
- fourierproof · cited by 62
Cited by3
Results whose statement or proof uses this declaration.
- fourierSubalgebra_separatesPointsstatement · cited by 1
- fourierSubalgebra_closure_eq_topstatement and proof · cited by 1
- fourierSubalgebra_coestatement · cited by 1