Theorems · Theorem · measure theory
MeasureTheory.charFun_apply_real
∀ {μ : MeasureTheory.Measure ℝ} (t : ℝ), MeasureTheory.charFun μ t = ∫ (x : ℝ), Complex.exp (↑t * ↑x * Complex.I) ∂μ- Cited by
- 1 results in Mathlib
- Foundations
- Depth 251 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- MeasureTheory.Measurestatement and proof · cited by 10,939
- Complexstatement · cited by 5,565
- MeasureTheory.integralstatement and proof · cited by 1,779
- Complex.ofRealstatement and proof · cited by 1,654
- Complex.Istatement and proof · cited by 866
- Complex.expstatement and proof · cited by 612
- Complex.ofReal_mulproof · cited by 180
- MeasureTheory.charFunstatement · cited by 84
- conj_trivialproof · cited by 27
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.integral_charFun_Iccproof · cited by 1