Jump to content

Paul Montel

From Wikipedia, the free encyclopedia
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 Frenchmathematician.He was born inNice,France and died inParis,France. He researched mostly onholomorphic functionsincomplex analysis.

Montel was a student ofÉmile Borelat theSorbonne.Henri Cartan,Jean DieudonnéandMiron Nicolescuwere among his students.

Montel's most important contribution to mathematics was the introduction and systematic development of the notion ofnormal family.[1] This very influential book also contains the first exposition in the book form of the results ofPierre FatouandGaston Juliaon holomorphic dynamics.The notion of normal family was a predecessor of the notion ofcompact spaceintroduced byPavel AlexandrovandPavel Urysohnin 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]