Theorems · Theorem · harmonic analysis
UnitAddTorus.mFourier_norm
∀ {d : Type u_1} [inst : Fintype d] {n : d → ℤ}, ‖UnitAddTorus.mFourier n‖ = 1- Defined in
- Mathlib.Analysis.Fourier.AddCircleMulti
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 206 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.
Cites23
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- Finset.prod_congrproof · cited by 646
- AddSubgroup.zmultiplesstatement · cited by 493
- le_of_eqproof · cited by 366
- zero_le_oneproof · cited by 316
Cited by1
Results whose statement or proof uses this declaration.
- UnitAddTorus.hasSum_mFourier_series_of_summableproof · cited by 1