Theorems · Theorem · harmonic analysis
fourier_neg
∀ {T : ℝ} {n : ℤ} {x : AddCircle T}, (fourier (-n)) x = (starRingEnd ℂ) ((fourier n) x)- Defined in
- Mathlib.Analysis.Fourier.AddCircle
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 203 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Realstatement and proof · cited by 25,697
- RingHomstatement · cited by 10,189
- Complexstatement and proof · cited by 5,565
- ContinuousMapstatement · cited by 2,491
- HasQuotient.Quotientproof · cited by 2,301
- Real.piproof · cited by 1,774
- starRingEndstatement and proof · cited by 671
- mul_negproof · cited by 590
- AddSubgroup.zmultiplesstatement and proof · cited by 493
- QuotientAddGroup.mkproof · cited by 348
- neg_smulproof · cited by 306
Cited by3
Results whose statement or proof uses this declaration.
- fourier_neg'proof · cited by 3
- fourierBasis_reprproof · cited by 1
- UnitAddTorus.mFourier_negproof · cited by 1