Commit 2021-07-01 14:19 ca30bd22
View on Github →feat(analysis/fourier): span of monomials is dense in C^0 (#8035)
Prove that the span of the monomials λ z, z ^ n
is dense in C(circle, ℂ)
, i.e. that its submodule.topological_closure
is ⊤
. This follows from the Stone-Weierstrass theorem after checking that it is a subalgebra, closed under conjugation, and
separates points.