Theorems · Definition · harmonic analysis
UnitAddTorus.mFourier
{d : Type u_1} → [Fintype d] → (d → ℤ) → C(UnitAddTorus d, ℂ)Exponential monomials in d variables.
- Defined in
- Mathlib.Analysis.Fourier.AddCircleMulti
- Cited by
- 15 results in Mathlib
- Foundations
- Depth 204 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.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Realstatement · cited by 25,697
- Fintypestatement and proof · cited by 7,736
- Complexstatement · cited by 5,565
- Finset.univproof · cited by 3,473
- ContinuousMapstatement · cited by 2,491
- Finset.prodproof · cited by 2,356
- AddSubgroup.zmultiplesstatement · cited by 493
- UnitAddCirclestatement · cited by 157
- fourierproof · cited by 62
- UnitAddTorusstatement and proof · cited by 29
Cited by18
Results whose statement or proof uses this declaration.
- UnitAddTorus.mFourierCoeffproof · cited by 8
- UnitAddTorus.mFourierLpproof · cited by 8
- UnitAddTorus.mFourierSubalgebraproof · cited by 3
- UnitAddTorus.coeFn_mFourierLpstatement and proof · cited by 1
- UnitAddTorus.hasSum_mFourier_series_of_summablestatement and proof · cited by 1
- UnitAddTorus.mFourierBasis_reprproof · cited by 1
- UnitAddTorus.mFourierSubalgebra_coestatement and proof · cited by 1
- UnitAddTorus.mFourierSubalgebra_separatesPointsproof · cited by 1
- UnitAddTorus.mFourier_negstatement · cited by 1
- UnitAddTorus.mFourier_normstatement and proof · cited by 1
- UnitAddTorus.mFourier_singlestatement · cited by 1
- UnitAddTorus.mFourier_zerostatement · cited by 1