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 ).
| Paul Montel | |
|---|---|
| fr. Paul Antoine Aristide Montel | |
| Date of Birth | |
| Place of Birth | Nice |
| Date of death | |
| A place of death | Paris |
| A country | |
| Scientific field | mathematician |
| Place of work | |
| Alma mater | High Normal School |
| supervisor | Emil Borel Henri Lebesgue |
| 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. |
Content
- 1 See also
- 2 Literature
- 3 notes
- 4 References
See also
- Montel's approximation theorem by polynomials .
- Montel's theorem on a compact family of functions .
Literature
- 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).
Notes
- ↑ 1 2 BNF identifier : Open Data Platform 2011.
- ↑ 1 2 Archive for the history of mathematics MacTyutor
- ↑ 1 2 Committee of Historical and Scientific Works - 1834.