Arnaud Denjoy

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Arnaud Denjoy
Born(1884-01-05)5 January 1884
Died21 January 1974(1974-01-21) (aged 90)
Alma materÉcole Normale Supérieure
Known forDenjoy integral
AwardsLomonosov Gold Medal (1970)
Poncelet Prize (1930)
Peccot Lectures (1912-1913)
Scientific career
InstitutionsÉcole Normale Supérieure
University of Paris
Doctoral advisorRené-Louis Baire
Doctoral studentsGustave Choquet
Ernest Corominas
Charles Pisot
Badri Nath Prasad

Arnaud Denjoy (French: [dɑ̃ˈʒwa]; 5 January 1884 – 21 January 1974) was a French mathematician.


Denjoy 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 three 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[edit]

See also[edit]


  1. ^ "Denjoy, Arnaud |".
  2. ^ Sheffer, I. M. "Review: Introduction à la Théorie des Fonctions de Variables Réelles by A. Denjoy". Bull. Amer. Math. Soc. 44, Part 1 (1): 21–22. doi:10.1090/S0002-9904-1938-06664-5.
  3. ^ Chandrasekharan, K. (1951). "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". Bull. Amer. Math. Soc. 57 (2): 153–154. doi:10.1090/S0002-9904-1951-09485-9.
  4. ^ website of publishing company Éditions Jacques Gabay with brief biography of Denjoy

External links[edit]