词条 | Arnaud Denjoy |
释义 |
| name = Arnaud Denjoy | image = | image_size = | caption = | birth_date = {{birth date|1884|01|05|df=y}} | birth_place = Auch, Gers | death_date = {{death date and age|1974|01|21|1884|01|05|df=y}} | death_place = Paris | nationality = French | fields = Mathematics | workplaces = École Normale Supérieure University of Paris | alma_mater = École Normale Supérieure | doctoral_advisor = René-Louis Baire | doctoral_students = Gustave Choquet Ernest Corominas Charles Pisot Badri Nath Prasad | known_for = Denjoy integral | awards = Lomonosov Gold Medal (1970) }} Arnaud Denjoy ({{IPA-fr|dɑ̃ˈʒwa|lang}}; 1884–1974) was a French mathematician. BiographyDenjoy was born in Auch, Gers. His contributions include work in harmonic analysis and differential equations. His integral was the first to be able to integrate all derivatives. Among his students is Gustave Choquet. He is also known for the more general broad Denjoy integral, or Khinchin integral. Denjoy was an Invited Speaker of the ICM with talk Sur une classe d'ensembles parfaits en relation avec les fonctions admettant une dérivée seconde généralisée in 1920 at Strasbourg and with talk Les equations differentielles periodiques in 1950 at Cambridge, Massachusetts. In 1931 he was the president of the Société Mathématique de France. In 1942 he was elected a member of the Académie des sciences and was its president in 1962. Denjoy married in 1923 and was the father of 3 sons. He died in Paris in 1974. He was an atheist with a strong interest in philosophy, psychology, and social issues.[1] The asteroid (19349) Denjoy is named in his honor. Selected publications
See also
References1. ^http://www.encyclopedia.com/doc/1G2-2830905083.html 2. ^{{cite journal|journal=Bull. Amer. Math. Soc.|title=Review: Introduction à la Théorie des Fonctions de Variables Réelles by A. Denjoy|author=Sheffer, I. M.|authorlink=Isador M. Sheffer|volume=vol. 44, Part 1|issue=1|pages=21–22|doi=10.1090/S0002-9904-1938-06664-5}} 3. ^{{cite journal|journal=Bull. Amer. Math. Soc.|volume=57|issue=2|year=1951|pages=153–154|title=Review: Leçons sur le calcul des coefficients d'une séries trigonométrique. Quatrieme Partie. Les totalisations. Solution du probléme de Fourier. Premier Fascicule: Les totalisations. Deuxième Fascicule: Appendices et tables générales, by A. Denjoy|author=Chandrasekharan, K.|authorlink=K. S. Chandrasekharan|doi=10.1090/S0002-9904-1951-09485-9}} 4. ^website of publishing company Éditions Jacques Gabay with brief biography of Denjoy External links{{more footnotes|date=September 2015}}
9 : 1884 births|1974 deaths|People from Auch|French mathematicians|French atheists|20th-century mathematicians|École Normale Supérieure alumni|Members of the French Academy of Sciences|Foreign Members of the USSR Academy of Sciences |
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