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doc(Analysis): fix typos #37340

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2 changes: 1 addition & 1 deletion Mathlib/Analysis/Distribution/Distribution.lean
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Expand Up @@ -127,7 +127,7 @@ which we follow here.
Finally, note that a **sequence** of distributions converges in `𝓓'(Ω, F)` if and only if it
converges pointwise
(see [L. Schwartz, *Théorie des distributions*, Chapitre III, §3, Theorème XIII][schwartz1950]).
(see [L. Schwartz, *Théorie des distributions*, Chapitre III, §3, Théorème XIII][schwartz1950]).
Due to this fact, some texts endow `𝓓'(Ω, F)` with the pointwise convergence topology. While this
gives the same converging sequences as the topology of bounded/compact convergence, this is no
longer true for general filters.
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2 changes: 1 addition & 1 deletion Mathlib/Analysis/ODE/Gronwall.lean
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Expand Up @@ -89,7 +89,7 @@ theorem gronwallBound_continuous_ε (δ K x : ℝ) : Continuous fun ε => gronwa
· simp only [gronwallBound_of_K_ne_0 hK]
fun_prop

/-- The Gronwall bound is monotone with respect to the time variable `x`. -/
/-- The Grönwall bound is monotone with respect to the time variable `x`. -/
lemma gronwallBound_mono {δ K ε : ℝ} (hδ : 0 ≤ δ) (hε : 0 ≤ ε) (hK : 0 ≤ K) :
Monotone (gronwallBound δ K ε) := by
intro x₁ x₂ hx
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6 changes: 3 additions & 3 deletions Mathlib/Analysis/SpecialFunctions/Gamma/Deligne.lean
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Expand Up @@ -11,7 +11,7 @@ public import Mathlib.Analysis.SpecialFunctions.Gamma.Beta
# Deligne's archimedean Gamma-factors

In the theory of L-series one frequently encounters the following functions (of a complex variable
`s`) introduced in Deligne's landmark paper *Valeurs de fonctions L et periodes d'integrales*:
`s`) introduced in Deligne's landmark paper *Valeurs de fonctions L et périodes d'intégrales*:

$$ \Gamma_{\mathbb{R}}(s) = \pi ^ {-s / 2} \Gamma (s / 2) $$

Expand All @@ -38,15 +38,15 @@ namespace Complex

/-- Deligne's archimedean Gamma factor for a real infinite place.

See "Valeurs de fonctions L et periodes d'integrales" § 5.3. Note that this is not the same as
See "Valeurs de fonctions L et périodes d'intégrales" § 5.3. Note that this is not the same as
`Real.Gamma`; in particular it is a function `ℂ → ℂ`. -/
noncomputable def Gammaℝ (s : ℂ) := π ^ (-s / 2) * Gamma (s / 2)

lemma Gammaℝ_def (s : ℂ) : Gammaℝ s = π ^ (-s / 2) * Gamma (s / 2) := rfl

/-- Deligne's archimedean Gamma factor for a complex infinite place.

See "Valeurs de fonctions L et periodes d'integrales" § 5.3. (Some authors omit the factor of 2).
See "Valeurs de fonctions L et périodes d'intégrales" § 5.3. (Some authors omit the factor of 2).
Note that this is not the same as `Complex.Gamma`. -/
noncomputable def Gammaℂ (s : ℂ) := 2 * (2 * π) ^ (-s) * Gamma s

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