Theorems · Theorem · harmonic analysis
hasDerivAt_fourier_neg
∀ (T : ℝ) (n : ℤ) (x : ℝ), HasDerivAt (fun y => (fourier (-n)) ↑y) (-2 * ↑Real.pi * Complex.I * ↑n / ↑T * (fourier (-n)) ↑x) x
- Defined in
- Mathlib.Analysis.Fourier.AddCircle
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 206 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- DFunLike.coestatement and proof · cited by 62,936
- Realstatement and proof · cited by 25,697
- Complexstatement and proof · cited by 5,565
- ContinuousMapstatement · cited by 2,491
- Real.pistatement and proof · cited by 1,774
- Complex.ofRealstatement and proof · cited by 1,654
- Complex.Istatement and proof · cited by 866
- starRingEndproof · cited by 671
- neg_mulproof · cited by 654
- Complex.expproof · cited by 612
- mul_negproof · cited by 590
- HasDerivAtstatement · cited by 493
Cited by1
Results whose statement or proof uses this declaration.
- has_antideriv_at_fourier_negproof · cited by 1