Theorems · Theorem · harmonic analysis
fourierCoeff_liftIco_eq
∀ {T : ℝ} [hT : Fact (0 < T)] {a : ℝ} (f : ℝ → ℂ) (n : ℤ),
fourierCoeff (AddCircle.liftIco T a f) n = fourierCoeffOn ⋯ f n- Defined in
- Mathlib.Analysis.Fourier.AddCircle
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 262 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Fact
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites22
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Realstatement and proof · cited by 25,697
- Complexstatement and proof · cited by 5,565
- Factstatement and proof · cited by 2,726
- LT.lt.leproof · cited by 2,189
- MeasureTheory.MeasureSpace.volumeproof · cited by 1,323
- Set.Iooproof · cited by 1,214
- intervalIntegralproof · cited by 546
- QuotientAddGroup.mkproof · cited by 348
- Fact.outstatement and proof · cited by 328
- add_sub_cancel_leftproof · cited by 198
- le_add_of_nonneg_rightproof · cited by 69
Cited by1
Results whose statement or proof uses this declaration.
- fourierCoeff_bernoulli_eqproof · cited by 1