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{{short description|French mathematician}}
{{Unreferenced|date=September 2009}}
{{Infobox scientist
{{Infobox scientist
| name = Paul Montel
| name = Paul Montel
| image = <!--(filename only)-->
| image = File:Paul Montel.jpg
| image_size =
| image_size =
| caption =
| caption =
⚫
| birth_name = Paul Antoine Aristide Montel
| birth_date = {{birth date|1876|04|29|df=y}}
| birth_date = {{birth date|1876|04|29|df=y}}
| birth_place = [[Nice]], [[France]]
| birth_place = [[Nice]], France
| death_date = {{death date and age|1975|01|22|1876|04|29|df=y}}
| death_date = {{death date and age|1975|01|22|1876|04|29|df=y}}
| death_place = [[Paris]], France
| death_place = [[Paris]], France
| nationality = {{flag|France}}
| nationality = French
| fields = [[Mathematics]]
| fields = [[Mathematics]]
| workplaces = [[Paris-Sorbonne University]]<br>[[École Normale Supérieure]]
| workplaces = [[Paris-Sorbonne University]]<br>[[École Normale Supérieure]]
| alma_mater = [[Sorbonne]]
| alma_mater = [[University of Paris|Sorbonne]]
| doctoral_advisor = [[Henri Lebesgue]]<br>[[Émile Borel]]
| doctoral_advisor = [[Émile Borel]]
| doctoral_students = [[Mieczysław Biernacki]]<br>[[Henri Cartan]]<br>[[Hubert Delange]]<br>[[Jean Dieudonné]]<br>[[Miron Nicolescu]]
| doctoral_students = [[Mieczysław Biernacki]]<br>[[Henri Cartan]]<br>[[Jean Dieudonné]]<br>[[Lucien Hibbert]]<br>[[Miron Nicolescu]]
| known_for = [[Montel's theorem]]<br>[[Montel space]]<br>[[Normal family]]
| known_for = [[Montel's theorem]]<br>[[Montel space]]<br>[[Normal family]]
| awards =
| awards =
}}
}}
'''Paul Antoine Aristide Montel''' (29 April 1876 – 22 January 1975) was a [[France|French]] [[mathematician]]. He was born in [[Nice]], [[France]] and died in [[Paris]], France. He researched mostly on [[holomorphic functions]] in [[complex analysis]].
'''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 [[Henri Lebesgue]] and [[Émile Borel]] at the [[Sorbonne]]. [[Henri Cartan]], [[Jean Dieudonné]] and [[Miron Nicolescu]] were among his students.
Montel was a student of [[Émile Borel]] at the [[University of Paris|Sorbonne]]. [[Henri Cartan]], [[Jean Dieudonné]] and [[Miron Nicolescu]] were among his students.


Montel's most important contribution to mathematics was the introduction and systematic
==External links==
development of the
notion of [[normal family]].<ref>{{cite book|first=Paul|last=Montel|title=Leçons sur les familles normales de fonctions analytiques et leurs applications|publisher=Gauthier-Villars|place=Paris|year=1927}}</ref>
This very influential book also contains the first exposition in the book form of the results of [[Pierre Fatou]] and [[Gaston Julia]] on
[[holomorphic dynamics]]. The notion of normal family was a predecessor of the notion of [[compact space]] introduced by [[Pavel Alexandrov]] and [[Pavel Urysohn]] in 1929.<ref>{{citation |last1=Alexandrov |first1=Pavel |authorlink1=Pavel Alexandrov |last2=Urysohn |first2=Pavel |authorlink2=Pavel Urysohn |title=Mémoire sur les espaces topologiques compacts |journal=Koninklijke Nederlandse Akademie van Wetenschappen te Amsterdam, Proceedings of the Section of Mathematical Sciences |volume=14 |year=1929}}.</ref>

==Notes==
{{reflist}}

==References==
* {{MacTutor Biography|id=Montel}}
* {{MacTutor Biography|id=Montel}}
* {{MathGenealogy|id=58739}}


{{Authority control}}
{{DEFAULTSORT:Montel, Paul Antoine Aristide}}
{{DEFAULTSORT:Montel, Paul Antoine Aristide}}
[[Category:1876 births]]
[[Category:1876 births]]
[[Category:1975 deaths]]
[[Category:1975 deaths]]
[[Category:French mathematicians]]
[[Category:19th-century French mathematicians]]
[[Category:Alumni of the École Normale Supérieure]]
[[Category:20th-century French mathematicians]]
[[Category:École Normale Supérieure alumni]]
[[Category:University of Paris alumni]]
[[Category:University of Paris alumni]]
[[Category:Grand Officiers of the Légion d'honneur]]
[[Category:Members of the French Academy of Sciences]]
[[Category:20th-century mathematicians]]
[[Category:Grand Officers of the Legion of Honour]]




{{France-mathematician-stub}}
{{France-mathematician-stub}}

[[de:Paul Montel]]
[[fr:Paul Montel]]
[[it:Paul Montel]]
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[[ht:Paul Antoine Aristide Montel]]
[[nl:Paul Montel]]
[[pl:Paul Antoine Montel]]
[[pt:Paul Montel]]
[[ru:Монтель, Поль]]
[[zh:保罗·蒙泰尔]]

Latest revision as of 13:09, 29 October 2024

Paul Montel
Born
Paul Antoine Aristide Montel

(1876-04-29)29 April 1876
Nice, France
Died22 January 1975(1975-01-22) (aged 98)
Paris, France
NationalityFrench
Alma materSorbonne
Known forMontel's theorem
Montel space
Normal family
Scientific career
FieldsMathematics
InstitutionsParis-Sorbonne University
École Normale Supérieure
Doctoral advisorÉmile Borel
Doctoral studentsMieczysław Biernacki
Henri Cartan
Jean Dieudonné
Lucien Hibbert
Miron Nicolescu

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 systematic development of the notion of normal family.[1] This very influential book also contains the first exposition in the book form of the results of Pierre Fatou and Gaston Julia on holomorphic dynamics. The notion of normal family was a predecessor of the notion of compact space introduced by Pavel Alexandrov and Pavel Urysohn in 1929.[2]

Notes

[edit]
  1. ^ Montel, Paul (1927). Leçons sur les familles normales de fonctions analytiques et leurs applications. Paris: Gauthier-Villars.
  2. ^ Alexandrov, Pavel; Urysohn, Pavel (1929), "Mémoire sur les espaces topologiques compacts", Koninklijke Nederlandse Akademie van Wetenschappen te Amsterdam, Proceedings of the Section of Mathematical Sciences, 14.

References

[edit]


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