Paul Montel

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Paul Montel
Paul Antoine Aristide Montel

(1876-04-29)29 April 1876
Nice, France
Died22 January 1975(1975-01-22) (aged 98)
Paris, France
Alma materSorbonne
Known forMontel's theorem
Montel space
Normal family
Scientific career
InstitutionsParis-Sorbonne University
École Normale Supérieure
Doctoral advisorÉmile Borel
Doctoral studentsMieczysław 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]


  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.