Theorems · Theorem · harmonic analysis
GaussianFourier.tendsto_verticalIntegral
∀ {b : ℂ}, 0 < b.re → ∀ (c : ℝ), Filter.Tendsto (GaussianFourier.verticalIntegral b c) Filter.atTop (nhds 0)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 262 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites28
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
- nhdsstatement and proof · cited by 5,554
- Filter.Tendstostatement and proof · cited by 3,814
- Filter.atTopstatement and proof · cited by 2,405
- Nat.cast_zeroproof · cited by 1,870
- absproof · cited by 1,814
- Complex.restatement and proof · cited by 882
- Real.expproof · cited by 871
- norm_nonnegproof · cited by 725
- Complex.improof · cited by 591
- Filter.Tendsto.compproof · cited by 560
Cited by1
Results whose statement or proof uses this declaration.
- GaussianFourier.integral_cexp_neg_mul_sq_add_real_mul_Iproof · cited by 1