coe_mFourierBasis — Mathlib

English

The Schwartz space SchwartzMap(E,F) is an additive commutative group.

Русский

Пространство Шварца SchwartzMap(E,F) является аддитивной абелевой группой.

LaTeX

$$$$\\text{SchwartzMap}(E,F) \\text{ is an additive commutative group.}$$$$

Lean4

/-- The elements of the Hilbert basis `mFourierBasis` are the functions `mFourierLp 2`, i.e. the
monomials `mFourier n` on `UnitAddTorus d` considered as elements of `L²`. -/
@[simp]
theorem coe_mFourierBasis : ⇑(mFourierBasis (d := d)) = mFourierLp 2 :=
  HilbertBasis.coe_mk _ _

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