- Fatou theorem
- Математика: теорема Фату
Универсальный англо-русский словарь. Академик.ру. 2011.
Fatou theorem
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Fatou's lemma — In mathematics, Fatou s lemma establishes an inequality relating the integral (in the sense of Lebesgue) of the limit inferior of a sequence of functions to the limit inferior of integrals of these functions. The lemma is named after the French… … Wikipedia
Fatou–Lebesgue theorem — In mathematics, the Fatou–Lebesgue theorem establishes a chain of inequalities relating the integrals (in the sense of Lebesgue) of the limit inferior and the limit superior of a sequence of functions to the limit inferior and the limit superior… … Wikipedia
Fatou's theorem — In complex analysis, Fatou s theorem, named after Pierre Fatou, is a statement concerning holomorphic functions on the unit disk and their pointwise extension to the boundary of the disk.Motivation and statement of theoremIf we have a holomorphic … Wikipedia
Fatou-Bieberbach domain — In mathematics, a Fatou Bieberbach domain comprises a proper subdomain of mathbb{C}^n which is biholomorphically equivalent to mathbb{C}^n; i.e. one calls an open Omega subset mathbb{C}^n ; (Omega eq mathbb{C}^n) a Fatou Bieberbach domain if… … Wikipedia
Pierre Fatou — Pierre Joseph Louis Fatou (28 February 1878, Lorient – 10 August 1929, Pornichet) was a French mathematician working in the field of complex analytic dynamics. He entered the École Normale Supérieure in Paris in 1898 to study mathematics and… … Wikipedia
Dominated convergence theorem — In measure theory, Lebesgue s dominated convergence theorem provides sufficient conditions under which two limit processes commute, namely Lebesgue integration and almost everywhere convergence of a sequence of functions. The dominated… … Wikipedia
No wandering domain theorem — In mathematics, the no wandering domain theorem is a result on dynamical systems, proved by Dennis Sullivan in 1985. The theorem states that a rational map f : Ĉ rarr; Ĉ with deg( f ) ge; 2 does not have a wandering domain, where Ĉ denotes the… … Wikipedia
No-wandering-domain theorem — In mathematics, the no wandering domain theorem is a result on dynamical systems, proven by Dennis Sullivan in 1985. The theorem states that a rational map f : Ĉ → Ĉ with deg(f) ≥ 2 does not have a wandering domain, where Ĉ… … Wikipedia
Monotone convergence theorem — In mathematics, there are several theorems dubbed monotone convergence; here we present some major examples. Contents 1 Convergence of a monotone sequence of real numbers 1.1 Theorem 1.2 Proof 1.3 … Wikipedia
Classification theorem — In mathematics, a classification theorem answers the classification problem What are the objects of a given type, up to some equivalence? . It gives a non redundant enumeration: each object is equivalent to exactly one class. A few related issues … Wikipedia
Classification of Fatou components — In mathematics, if f = P(z) / Q(z) is a rational function defined in the extended complex plane, and if then for a periodic component U of the Fatou set, exactly one of the following holds: U contains an attracting periodic point U is parabolic U … Wikipedia
