Theorems · Theorem · harmonic analysis
UnitAddTorus.orthonormal_mFourier
∀ {d : Type u_1} [inst : Fintype d], Orthonormal ℂ (UnitAddTorus.mFourierLp 2)The monomials mFourierLp 2 n are an orthonormal set in L².
- Defined in
- Mathlib.Analysis.Fourier.AddCircleMulti
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 270 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Fintype
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites35
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- MeasureTheory.MeasureSpace.volumestatement and proof · cited by 1,323
Cited by2
Results whose statement or proof uses this declaration.
- UnitAddTorus.mFourierBasisproof · cited by 4
- UnitAddTorus.coe_mFourierBasisproof · cited by 1