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Paul Antoine Aristide Montel (Nizza, 29 ap … Paul Antoine Aristide Montel (Nizza, 29 aprile 1876 – Parigi, 22 gennaio 1975) è stato un matematico francese, noto soprattutto per i suoi lavori riguardanti la teoria delle funzioni analitiche complesse. Frequentò l'Università di Parigi dove ebbe come docenti Henri Lebesgue ed Émile Borel. Il 25 giugno 1907 ottenne il dottorato presentando la sua dissertazione dal titolo "Sopra le serie infinite di funzioni", nella quale introdusse la nozione di . Della commissione d'esame per il dottorato facevano parte Paul Émile Appell, presidente, Paul Painlevé e Borel. Nel 1911 viene nominato professore presso la Facoltà delle scienze di Parigi. Di tale Facoltà fu il decano dal 1941 al 1946, succedendo a . Fu eletto all'Accademia delle scienze francese nel 1937.È stato anche nominato Grande Ufficiale della Legion d'onore. Ebbe come allievi Henri Cartan, Jean Dieudonné e . Ha dato il suo nome alla nozione di e al seguente (1912): Sia f(z) una funzione analitica della variabile z = x + iy, definita in un insieme S tale che a < x < b e y > 0.Se f è limitata in S e tende, per y tendente all'infinito, a un limite L per un certo valore v della x compreso tra a e b, allora f(x + iy) tende a L per ogni valore x compreso tra a e b. a L per ogni valore x compreso tra a e b.
, Paul Antoine Aristide Montel, né à Nice le 29 avril 1876 et mort à Paris le 22 janvier 1975, est un mathématicien français.
, Paul Antoine Aristide Montel (29 April 187 … Paul Antoine Aristide Montel (29 April 1876 – 22 January 1975) was a French mathematician. He was born in Nice, France and died in Paris, France. He researched mostly on holomorphic functions in complex analysis. Montel was a student of Émile Borel at the Sorbonne. Henri Cartan, Jean Dieudonné and Miron Nicolescu were among his students. Montel's most important contribution to mathematics was the introduction and systematicdevelopment of thenotion of normal family.This very influential book also contains the first exposition in the book form of the results of Pierre Fatou and Gaston Julia onholomorphic dynamics. The notion of normal family was a predecessor of the notion of compact space introduced by Pavel Alexandrov and Pavel Urysohn in 1929.avel Alexandrov and Pavel Urysohn in 1929.
, Paul Antoine Aristide Montel (* 29. April … Paul Antoine Aristide Montel (* 29. April 1876 in Nizza; † 22. Januar 1975 in Paris) war ein französischer Mathematiker. Montel war der Sohn eines Photographen und besuchte das Gymnasium in Nizza. Nach seinem Studium von 1894 bis 1897 an der École normale supérieure in Paris arbeitete er zunächst als Gymnasiallehrer in Poitiers, Nantes und Paris. Im Jahre 1907 promovierte er auf Drängen von Freunden, die sein Potential erkannten, in Paris an der Sorbonne (bei Henri Lebesgue und Émile Borel sowie Paul Painlevé), kehrte aber wieder in seinen Lehrerberuf zurück. In seiner Dissertation Sur les suites infinies de fonctions führte er sein Konzept normaler Familien von Funktionen in die Funktionentheorie ein, das sogleich z. B. Anwendung in der Theorie der Iteration analytischer Funktionen fand (Gaston Julia 1918, Pierre Fatou). 1911 war er doch zunächst Dozent an der "Faculté des Sciences" und dann ab 1918 als Professor tätig. Während der deutschen Besatzung Frankreichs war er Dekan der Fakultät. Zu seinen Studenten gehörten unter anderen Jean Dieudonné und Henri Cartan. Montel war Herausgeber der Zeitschriften Annales scientifiques de l'École normale supérieure und Bulletin des Sciences Mathematiques. 1937 wurde er in die französische Akademie der Wissenschaften gewählt. Er war außerdem Großoffizier der französischen Ehrenlegion. 1925 war er Präsident der Société Mathématique de France.sident der Société Mathématique de France.
, Paul Antoine Aristide Montel (Nice, 29 apr … Paul Antoine Aristide Montel (Nice, 29 april 1876 - Parijs, 22 januari 1975) was een Frans wiskundige. Hij werkte voornamelijk op het gebied van de holomorfe functies in de complexe analyse. Montel was op de Sorbonne een leerling van Henri Lebesgue en Émile Borel. Onder zijn studenten waren Henri Cartan, Jean Dieudonné en .en waren Henri Cartan, Jean Dieudonné en .
, 保罗·安托万·亚里士多德·蒙泰尔（Paul Antoine Aristide Montel，1876年4月29日－1975年1月22日），法国数学家。他出生于法国尼斯，逝于巴黎。他主要研究复分析中的全纯函数。 蒙泰尔是昂利·勒贝格与埃米尔·博雷尔在索邦大学的学生。昂利·嘉当、让·迪厄多内与 是蒙泰尔的学生。
, 폴 앙투안 아리스티드 몽텔(프랑스어: Paul Antoine Aristide Montel IPA: [pɔl ɑ̃twan aʁistid mɔ̃tɛl], 1876~1975)은 프랑스의 수학자이다. 복소해석학에 공헌하였다.
, Поль Антуа́н Аристи́д Монте́ль (фр. Paul Antoine Aristide Montel; 29 апреля 1876, Ницца, Франция — 22 января 1975, Париж, Франция) — французский математик. Член Французской академии наук (1937).
, Paul Montel (Niça, 29 d'abril de 1876 - París, 22 de gener de 1975) va ser un matemàtic francès.
, Paul Antoine Aristide Montel (Nice, 29 de … Paul Antoine Aristide Montel (Nice, 29 de abril de 1876 — Paris, 22 de janeiro de 1975) foi um matemático francês. Trabalhou principalmente com funções holomorfas em análise complexa. Montel foi aluno de Henri Lebesgue e Émile Borel na Sorbonne. Henri Cartan, Jean Dieudonné e Miron Nicolescu foram alguns de seus alunos.ron Nicolescu foram alguns de seus alunos.
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Поль Антуа́н Аристи́д Монте́ль (фр. Paul Antoine Aristide Montel; 29 апреля 1876, Ницца, Франция — 22 января 1975, Париж, Франция) — французский математик. Член Французской академии наук (1937).
, Paul Montel (Niça, 29 d'abril de 1876 - París, 22 de gener de 1975) va ser un matemàtic francès.
, 保罗·安托万·亚里士多德·蒙泰尔（Paul Antoine Aristide Montel，1876年4月29日－1975年1月22日），法国数学家。他出生于法国尼斯，逝于巴黎。他主要研究复分析中的全纯函数。 蒙泰尔是昂利·勒贝格与埃米尔·博雷尔在索邦大学的学生。昂利·嘉当、让·迪厄多内与 是蒙泰尔的学生。
, Paul Antoine Aristide Montel (* 29. April … Paul Antoine Aristide Montel (* 29. April 1876 in Nizza; † 22. Januar 1975 in Paris) war ein französischer Mathematiker. Montel war der Sohn eines Photographen und besuchte das Gymnasium in Nizza. Nach seinem Studium von 1894 bis 1897 an der École normale supérieure in Paris arbeitete er zunächst als Gymnasiallehrer in Poitiers, Nantes und Paris. Im Jahre 1907 promovierte er auf Drängen von Freunden, die sein Potential erkannten, in Paris an der Sorbonne (bei Henri Lebesgue und Émile Borel sowie Paul Painlevé), kehrte aber wieder in seinen Lehrerberuf zurück. In seiner Dissertation Sur les suites infinies de fonctions führte er sein Konzept normaler Familien von Funktionen in die Funktionentheorie ein, das sogleich z. B. Anwendung in der Theorie der Iteration analytischer Funktionen fand (r Iteration analytischer Funktionen fand (
, Paul Antoine Aristide Montel, né à Nice le 29 avril 1876 et mort à Paris le 22 janvier 1975, est un mathématicien français.
, Paul Antoine Aristide Montel (Nice, 29 apr … Paul Antoine Aristide Montel (Nice, 29 april 1876 - Parijs, 22 januari 1975) was een Frans wiskundige. Hij werkte voornamelijk op het gebied van de holomorfe functies in de complexe analyse. Montel was op de Sorbonne een leerling van Henri Lebesgue en Émile Borel. Onder zijn studenten waren Henri Cartan, Jean Dieudonné en .en waren Henri Cartan, Jean Dieudonné en .
, Paul Antoine Aristide Montel (29 April 187 … Paul Antoine Aristide Montel (29 April 1876 – 22 January 1975) was a French mathematician. He was born in Nice, France and died in Paris, France. He researched mostly on holomorphic functions in complex analysis. Montel was a student of Émile Borel at the Sorbonne. Henri Cartan, Jean Dieudonné and Miron Nicolescu were among his students.d Miron Nicolescu were among his students.
, Paul Antoine Aristide Montel (Nizza, 29 ap … Paul Antoine Aristide Montel (Nizza, 29 aprile 1876 – Parigi, 22 gennaio 1975) è stato un matematico francese, noto soprattutto per i suoi lavori riguardanti la teoria delle funzioni analitiche complesse. Frequentò l'Università di Parigi dove ebbe come docenti Henri Lebesgue ed Émile Borel. Il 25 giugno 1907 ottenne il dottorato presentando la sua dissertazione dal titolo "Sopra le serie infinite di funzioni", nella quale introdusse la nozione di . Della commissione d'esame per il dottorato facevano parte Paul Émile Appell, presidente, Paul Painlevé e Borel.Appell, presidente, Paul Painlevé e Borel.
, 폴 앙투안 아리스티드 몽텔(프랑스어: Paul Antoine Aristide Montel IPA: [pɔl ɑ̃twan aʁistid mɔ̃tɛl], 1876~1975)은 프랑스의 수학자이다. 복소해석학에 공헌하였다.
, Paul Antoine Aristide Montel (Nice, 29 de … Paul Antoine Aristide Montel (Nice, 29 de abril de 1876 — Paris, 22 de janeiro de 1975) foi um matemático francês. Trabalhou principalmente com funções holomorfas em análise complexa. Montel foi aluno de Henri Lebesgue e Émile Borel na Sorbonne. Henri Cartan, Jean Dieudonné e Miron Nicolescu foram alguns de seus alunos.ron Nicolescu foram alguns de seus alunos.
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, 폴 몽텔
, Paul Montel (mathématicien)
, 保罗·蒙泰尔
, Монтель, Поль
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