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| | Roberto is what's written over his birth certificate fortunately he never really treasured that name. South Carolina is your birth place. The [http://www.Guardian.co.uk/search?q=favourite+hobby favourite hobby] for him and as well , his kids is to assist you fish and he's been for a while doing it for a very long time. Auditing is how he supports his own family. Go in which to his website to hit upon out more: http://circuspartypanama.com<br><br> |
| {{Infobox scientist
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| | name =
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| | image = Fatou.jpeg
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| | alt = Pierre Fatou
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| | caption =
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| | birth_date = {{Birth date|1878|2|28|df=y}}
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| | birth_place = [[Lorient]]
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| | death_date = {{Death date and age|1929|8|10|1878|2|28|df=y}}
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| | death_place = [[Pornichet]]
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| | resting_place_coordinates = <!-- {{Coord|LAT|LONG|type:landmark|display=inline,title}} -->
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| | residence =
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| | citizenship =
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| | nationality = French
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| | fields = Mathematics
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| | notable_students =
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| | known_for = [[Fatou lemma]] <br> [[Fatou set]] <br> [[Fatou–Bieberbach domain]]
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| '''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 [[mathematical analysis|analysis]]. The [[Fatou lemma]] and the [[Fatou set]] are named after him.
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| ==Biography==
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| [[File:Pierre Fatou.jpg|thumb|Pierre Fatou]]
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| 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.
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| Fatou was awarded the [[Henri Becquerel|Becquerel]] prize in 1918; he was a knight of the [[Legion of Honour]] (1923).{{sfn|Audin|2009|p=138}} He was the president of the [[Société Mathématique de France|French mathematical society]] in 1927.<ref>{{cite web|url=http://smf.emath.fr/VieSociete/Instances/AnciensPresidents.html|publisher=French mathematical society|title=Anciens Présidents|language=French}}</ref>
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| He was in friendly relations with several contemporary French mathematicians, especially, [[Maurice René Fréchet]] and [[Paul Montel]].{{sfn|Audin|2009|p=132}}
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| == Mathematical work of Fatou ==
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| Fatou's work had very large influence on the development of [[Mathematical analysis|analysis]] in the 20th century.
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| Fatou's PhD thesis ''Séries trigonométriques et séries de Taylor'' {{harv|Fatou|1906}} was the first application of the [[Lebesgue integral]] to concrete problems of [[mathematical analysis|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 (mathematics)|measure]] on the unit circle. This work of Fatou is influenced by [[Henri Lebesgue]] who invented his integral in 1901.
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| The famous [[Fatou theorem]], which says that a bounded [[analytic function]] in the unit disc has radial limits [[almost everywhere]] on the unit circle was published in 1906 {{harv|Fatou|1906}}. This theorem was at the origin of a large body of research in 20th-century mathematics under the name of ''bounded analytic functions''.<ref>{{cite book|first=John B.|last=Garnett|title=Bounded analytic functions|publisher=[[Academic Press]]|year=1981}}</ref> See also the Wikipedia article on functions of [[Bounded type (mathematics)|bounded type]].
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| A number of fundamental results on the [[analytic continuation]] of a Taylor series belong to Fatou.<ref>{{cite book|first=Ludwig|last=Bieberbach|title=Analytische Fortsetzung|publisher=[[Springer Verlag]]|place=Berlin|year=1955}}</ref>
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| [[Image:Fatou1906-II.jpg|thumb|Julia set of
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| <math>\tfrac12(z+z^2)</math> investigated by
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| Fatou in 1906. This picture is made with a modern computer.]]
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| [[Image:Julia set of the Fatou function.png|thumb|Julia set of
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| ''z''+1+''e''<sup>-''z''</sup> investigated by Fatou in 1926.]]
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| [[Image:Julia set of a map in the sine family.png|thumb|Julia set
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| of a sine function studied by Fatou in 1926]]
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| In 1917–1920 Fatou created the area of mathematics which is called [[holomorphic dynamics]] {{harvs|last=Fatou|year=1919|year2=1920|year3=1920b}}. It deals with a global study of iteration of analytic functions. He was the first to introduce and study the set which is called now the [[Julia set]]. (The complement of this set is sometimes called the [[Fatou set]]).
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| Some of the basic results of holomorphic dynamics were also independently obtained
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| by [[Gaston Julia]] and Samuel Lattes in 1918.
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| Holomorphic dynamics experienced a strong revival since 1982 because of the new discoveries of [[Dennis Sullivan]], [[Adrian Douady]], [[John Hamal Hubbard|John Hubbard]] and others. Beautiful pictures illustrating this theory produced by modern computers stimulate great interest not only of mathematicians but also outside of the mathematical community.
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| In 1926 Fatou pioneered the study of dynamics of [[Transcendental function|transcendental]] [[entire function]]s, a subject which is
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| [[escaping set|intensively developing]] at this time (2012).
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| As a byproduct of his studies in holomorphic dynamcis, Fatou discovered what are now called [[Fatou–Bieberbach domain]]s. These are proper subregions of the complex space of dimension ''n'' that are biholomorphically equivalent to the whole space. (Such regions cannot exist for ''n=1''.)
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| Fatou did important work in [[celestial mechanics]]. He was the first to prove rigorously
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| <ref>{{cite journal|first=Iu. A.|last=Mitropolsky|title=Averaging method in non-linear mechanics|journal=Intl. J. Non-Lin. Mech.|year=1967|volume=2|pages=69–95|bibcode=1967IJNLM...2...69M|doi=10.1016/0020-7462(67)90020-0}}</ref>
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| a theorem on the averaging of a [[perturbation theory|perturbation]] produced by a periodic force of short period, conjectured by [[Karl Friedrich Gauss|Gauss]], {{harv|Fatou|1928}}. This work was continued by
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| [[Leonid Mandelstam]] and [[Nikolay Bogolyubov]] and his students and developed in a large area of modern applied mathematics.
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| Fatou's other research in celestial mechanics includes a study of the movement of a planet in a resisting medium.
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| ==Selected publications==
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| * {{cite journal|last=Fatou|first=P.|title=Séries trigonométriques et séries de Taylor|journal=Acta Math|volume=30|year=1906|ref=harv|jfm=37.0283.01|doi=10.1007/BF02418579|pages=335}}
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| * {{cite journal|last=Fatou|first=P.|title=Sur les équations fonctionnelles, I|journal=Bulletin de la Société Mathématique de France|volume=47|year=1919|pages=161–271|jfm=47.0921.02|url= http://www.numdam.org/item?id=BSMF_1919__47__161_0|ref=harv}}; {{cite journal|last=Fatou|first=P.|title=Sur les équations fonctionnelles, II|journal=Bulletin de la Société Mathématique de France|volume=48|year=1920|pages=33–94|jfm=47.0921.02|url=http://www.numdam.org/item?id=BSMF_1920__48__33_0|ref=harv}}; {{cite journal|last=Fatou|first=P.|title=Sur les équations fonctionnelles, III|journal=Bulletin de la Société Mathématique de France|volume=48|year=1920b|pages=208–314|jfm=47.0921.02|url=http://www.numdam.org/item?id=BSMF_1920__48__208_1|ref=harv}}
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| * {{cite journal|last=Fatou|first=P.|year=1923|journal=Bull. Soc. Math. France|volume=51|ref=harv|title=Sur les fonctions holomorphes et bornées à l'intérieur d'un cercle|pages=191–202|url=http://www.numdam.org/item?id=BSMF_1923__51__191_1|jfm=49.0221.01}}
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| * {{cite journal|last=Fatou|first=P.|year=1926|volume=47|journal=Acta Math|pages=337–370|title=Sur l'itération des fonctions transcendantes entières|doi=10.1007/BF02559517|issue=4}}
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| * {{cite journal|last=Fatou|first=P.|year=1928|journal=Bull. Soc. Math. France|volume=56|ref=harv|title=Sur le mouvement d'un système soumis à des forces à courte période|pages=98–139|jfm=54.0834.01|url= http://www.numdam.org/item?id=BSMF_1928__56__98_0}}
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| ==Notes==
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| <references />
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| ==See also==
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| *[[Fatou's theorem]]
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| *[[Fatou set]]
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| *[[Fatou–Lebesgue theorem]] (same as [[Fatou's lemma]])
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| *[[Classification of Fatou components]]
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| *[[Fatou–Bieberbach domain]]
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| *[[Holomorphic dynamics]]
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| ==References==
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| * {{cite book|first=Michèle|last=Audin|year=2009|title=Fatou, Julia, Montel, le Grand prix des sciences mathématiques de 1918, et après...|url=http://www.springerlink.com/content/w0716l/#section=61104&page=1&locus=1|publisher=Springer|location=Heidelberg|isbn=978-3-642-00445-2|ref=harv}}
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| * {{cite paper|title=Notice sur les travaux scientifique de Pierre Fatou (pdf)|
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| url=http://www.math.purdue.edu/~eremenko/dvi/fatou-b.pdf|year=1929|place=Paris}}
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| * {{cite paper|first=Jean|last=Chazy|authorlink=Jean Chazy|title=Pierre Fatou|journal=Bulletin astronomique|year=1933|volume=8|pages=389–384}}
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| ==External links==
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| * {{MacTutor Biography|id=Fatou}}
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| * [http://images.math.cnrs.fr/Pierre-Fatou-mathematicien-et.html Pierre Fatou, mathématicien et astronome] by Michèle Audin, on the site Images des Mathématiques.
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| * List of publications of Pierre Fatou on [http://www.emis.de/MATH/JFM/full.html Jahrbuch database].
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| * {{DSB|title=[http://www.encyclopedia.com/doc/1G2-2830901388.html Pierre Fatou]}}
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| * {{MathGenealogy|id=105160}}
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| * [http://www.ams.org/bookstore-getitem/item=HMATH-38 Early Days in Complex Dynamics: A History of Complex Dynamics in One Variable During 1906-1942] by Daniel S.Alexander, Felice Iavernaro, Alessandro Rosa
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| {{Authority control|VIAF=76398864}}
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| {{Persondata <!-- Metadata: see [[Wikipedia:Persondata]].-->
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| | NAME = Fatou, Pierre
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| | ALTERNATIVE NAMES =
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| | SHORT DESCRIPTION = French mathematician
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| | DATE OF BIRTH = 28 February 1878
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| | PLACE OF BIRTH = Lorient
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| | DATE OF DEATH = 10 August 1929
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| | PLACE OF DEATH = Pornichet
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| }}
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| {{DEFAULTSORT:Fatou, Pierre}}
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| [[Category:1878 births]]
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| [[Category:1929 deaths]]
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| [[Category:20th-century mathematicians]]
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| [[Category:French mathematicians]]
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| [[Category:École Normale Supérieure alumni]]
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Roberto is what's written over his birth certificate fortunately he never really treasured that name. South Carolina is your birth place. The favourite hobby for him and as well , his kids is to assist you fish and he's been for a while doing it for a very long time. Auditing is how he supports his own family. Go in which to his website to hit upon out more: http://circuspartypanama.com
Review my site: clash of clans hack cydia (Full Record)