**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 | |
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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$\{{f}_{\alpha}(z)\}$ - an infinite family of holomorphic functions in the domain |

## 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.