Paul Antoine Aristide Montel ( fr. Paul Antoine Aristide Montel ; April 29, 1876 , Nice , France - January 22, 1975 , Paris , France) - French mathematician. Member of the French Academy of Sciences ( 1937 ).
|fr. Paul Antoine Aristide Montel|
|Date of Birth|
|Place of Birth||Nice|
|Date of death|
|A place of death||Paris|
|Place of work|
|Alma mater||High Normal School|
|supervisor||Emil Borel |
|Awards and prizes||Poncelet Prize (1926)|
After studying at the Lyceum in Nice, he entered the Higher Normal School in Paris in 1894 , graduating in 1897 . He was engaged in teaching, in 1907 received his doctorate in mathematics, defending a dissertation at the University of Paris “ Sur les suites infinies de fonctions ”. Montel's supervisors were Emile Borel and Henri Lebesgue . In 1911 he became a professor at the Faculty of Natural Sciences of the University of Paris, in 1941 - 1946 - Dean of the faculty. Montel's students were Henri Cartan , Jean Dieudonne , Miron Nicolescu , Mechislav Bernatsky , Tiberiu Popovichi and others.
Montel is the author of more than 200 books and scientific articles, works are devoted to the theory of analytical functions , the application of the compactness principle to it. Montel’s theorem (compactness principle) is named after him:
Let be - an infinite family of holomorphic functions in the domain D of the complex plane z ; then in order for this family to be compact, that is, from any sequence one could single out a subsequence uniformly converging inside D ; it is necessary and sufficient that the family be uniformly bounded inside D.
- 1 See also
- 2 Literature
- 3 notes
- 4 References
- Montel's approximation theorem by polynomials .
- Montel's theorem on a compact family of functions .
- Montel, Paul // Millipedes - Bluegrass. - M .: Soviet Encyclopedia, 1954. - P. 258. - ( Great Soviet Encyclopedia : [in 51 vols.] / Ch. Ed. B. A. Vvedensky ; 1949-1958, vol. 28).