Paul Montel

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.

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

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.[1]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.[2]

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