Theorems · Theorem · harmonic analysis
has_antideriv_at_fourier_neg
∀ {T : ℝ},
Fact (0 < T) →
∀ {n : ℤ},
n ≠ 0 →
∀ (x : ℝ), HasDerivAt (fun y => ↑T / (-2 * ↑Real.pi * Complex.I * ↑n) * (fourier (-n)) ↑y) ((fourier (-n)) ↑x) x- Defined in
- Mathlib.Analysis.Fourier.AddCircle
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 207 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites32
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
- TopologicalSpaceproof · cited by 24,529
- Moduleproof · cited by 20,661
- AddCommGroupproof · cited by 12,871
- NontriviallyNormedFieldproof · cited by 8,742
- Complexstatement and proof · cited by 5,565
- Factstatement and proof · cited by 2,726
- ContinuousMapstatement · cited by 2,491
- Real.pistatement and proof · cited by 1,774
- Complex.ofRealstatement and proof · cited by 1,654
- LT.lt.ne'proof · cited by 1,417
Cited by1
Results whose statement or proof uses this declaration.
- fourierCoeffOn_of_hasDeriv_rightproof · cited by 1