Theorems · Theorem · harmonic analysis
UnitAddTorus.mFourier_single
∀ {d : Type u_1} [inst : Fintype d] [inst_1 : DecidableEq d] (z : d → AddCircle 1) (i : d),
(UnitAddTorus.mFourier (Pi.single i 1)) z = (fourier 1) (z i)- Defined in
- Mathlib.Analysis.Fourier.AddCircleMulti
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 205 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FintypeDecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites25
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- Fintypestatement and proof · cited by 7,736
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- Compl.complproof · cited by 2,925
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- Finset.prodproof · cited by 2,356
- Finset.prod_congrproof · cited by 646
- Pi.singlestatement and proof · cited by 518
- AddSubgroup.zmultiplesstatement · cited by 493
Cited by1
Results whose statement or proof uses this declaration.
- UnitAddTorus.mFourierSubalgebra_separatesPointsproof · cited by 1