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Pierre Fatou

Pierre Fatou
Pierre Fatou
Born (1878-02-28)28 February 1878
Lorient
Died 10 August 1929(1929-08-10) (aged 51)
Pornichet
Nationality French
Fields Mathematics
Known for Fatou lemma
Fatou set
Fatou–Bieberbach domain

Pierre Joseph Louis Fatou (28 February 1878 – 10 August 1929) was a French mathematician and astronomer. He is known for major contributions to several branches of analysis. The Fatou lemma and the Fatou set are named after him.

Fatou entered the École Normale Supérieure in Paris in 1898 to study mathematics and graduated in 1901 when he was appointed an observer (stagiaire) in the Paris Observatory. Fatou was promoted to assistant astronomer in 1904 and to astronomer (astronome titulaire) in 1928. He worked in this observatory until his death.

Fatou was awarded the Becquerel prize in 1918; he was a knight of the Legion of Honour (1923). He was the president of the French mathematical society in 1927.

He was in friendly relations with several contemporary French mathematicians, especially, Maurice René Fréchet and Paul Montel.

Fatou's work had very large influence on the development of analysis in the 20th century.

Fatou's PhD thesis Séries trigonométriques et séries de Taylor (Fatou 1906) was the first application of the Lebesgue integral to concrete problems of analysis, mainly to the study of analytic and harmonic functions in the unit disc. In this work, Fatou studied for the first time the Poisson integral of an arbitrary measure on the unit circle. This work of Fatou is influenced by Henri Lebesgue who invented his integral in 1901.


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