Theorems · Theorem · harmonic analysis
UnitAddTorus.mFourierSubalgebra_separatesPoints
∀ {d : Type u_1} [inst : Fintype d], (UnitAddTorus.mFourierSubalgebra d).SeparatesPointsThe subalgebra of C(UnitAddTorus d, ℂ) generated by mFourier n for n ∈ ℤᵈ separates
points.
- Defined in
- Mathlib.Analysis.Fourier.AddCircleMulti
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 208 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Fintype
Around this declaration
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Cites21
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- fourierproof · cited by 62
- StarSubalgebra.toSubalgebrastatement · cited by 58
Cited by1
Results whose statement or proof uses this declaration.
- UnitAddTorus.mFourierSubalgebra_closure_eq_topproof · cited by 1