Theorems · Theorem · special functions
continuousAt_gaussian_integral
∀ (b : ℂ), 0 < b.re → ContinuousAt (fun c => ∫ (x : ℝ), Complex.exp (-c * ↑x ^ 2)) b
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 286 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites44
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
- Complexstatement and proof · cited by 5,565
- nhdsproof · cited by 5,554
- Norm.normproof · cited by 5,413
- Set.preimageproof · cited by 4,946
- Filter.Eventuallyproof · cited by 3,134
- MeasureTheory.aeproof · cited by 2,352
- MeasureTheory.integralstatement · cited by 1,779
- Filter.univ_mem'proof · cited by 1,672
- Complex.ofRealstatement and proof · cited by 1,654
- Set.Ioiproof · cited by 1,463
- MeasureTheory.MeasureSpace.volumestatement and proof · cited by 1,323
Cited by1
Results whose statement or proof uses this declaration.
- integral_gaussian_complexproof · cited by 2