Theorems · Theorem · harmonic analysis
Polynomial.toAddCircle_monomial_eq_smul_fourier
∀ {n : ℕ} {c : ℂ}, Polynomial.toAddCircle ((Polynomial.monomial n) c) = c • fourier ↑n- Defined in
- Mathlib.Analysis.Polynomial.Fourier
- Cited by
- 1 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.
Cites21
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 · cited by 25,697
- RingHom.idstatement · cited by 18,349
- LinearMapstatement · cited by 10,215
- Polynomialstatement · cited by 5,681
- Complexstatement and proof · cited by 5,565
- mul_oneproof · cited by 3,885
- AlgHomstatement · cited by 3,236
- ContinuousMapstatement · cited by 2,491
- Real.pistatement and proof · cited by 1,774
- AddSubgroup.zmultiplesstatement · cited by 493
- Polynomial.monomialstatement · cited by 256
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.fourierCoeff_toAddCircleproof · cited by 3