Paul Montel

Paul Montel
Paul Montel
Born	Paul Antoine Aristide Montel; 29 April 1876; Nice, France
Died	22 January 1975 (aged 98); Paris, France
Nationality	French
Alma mater	Sorbonne
Known for	Montel's theorem; Montel space; Normal family
	Scientific career
Fields	Mathematics
Institutions	Paris-Sorbonne University; École Normale Supérieure
Doctoral advisor	Émile Borel
Doctoral students	Mieczysław Biernacki; Henri Cartan; Jean Dieudonné; 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

Montel, Paul (1927). Lecons sur les familles normales de fonctions analytiques et leurs applications. Paris: Gauthier-Villars.
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.

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References

O'Connor, John J.; Robertson, Edmund F., "Paul Montel", MacTutor History of Mathematics archive, University of St Andrews.

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[1] Montel, Paul (1927). Lecons 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.