Nationality French Role Mathematician | Name Paul Montel Alma mater Sorbonne | |
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Born 29 April 1876Nice, France ( 1876-04-29 ) Doctoral students Mieczyslaw BiernackiHenri CartanHubert DelangeJean DieudonneMiron Nicolescu Known for Montel's theoremMontel spaceNormal family Education Ecole Normale Superieure, University of Paris Doctoral advisor Henri Lebesgue, Emile Borel Similar People Emile Borel, Henri Lebesgue, Henri Cartan, Jean Dieudonne, 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. 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.