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| {{Infobox scientist
| | My name is Darrin from Eichenau studying Agriculture and Life Sciences. I did my schooling, secured 92% and hope to find someone with same interests in Kayaking.<br><br>Also visit my homepage - [http://www.shadetreeautobody.com/save-big-bucks-by-using-bookbyte-promo-code-the-right-way/ Bookbyte Buyback Reviews] |
| |name = Giuseppe Vitali
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| |box_width =
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| |image = Giuseppe Vitali.jpg
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| |image_size = 220px
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| |caption =
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| |birth_date = {{Birth date|df=yes|1875|8|26}}
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| |death_date = {{Death date and age|df=yes|1932|2|29|1875|8|26}}
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| |birth_place = [[Ravenna]], Italy
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| |death_place =[[Bologna]], Italy
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| |nationality = Italian
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| |field = Mathematics
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| |known_for =
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| | notable_students =
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| |prizes =
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| }}
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| '''Giuseppe Vitali''' (26 August 1875 – 29 February 1932) was an [[Italy|Italian]] [[mathematician]] who worked in several branches of [[mathematical analysis]].
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| == Mathematical contributions ==
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| Vitali was the first to give an example of a [[non-measurable set|non-measurable subset]] of [[real number]]s, see [[Vitali set]]. His [[Vitali covering theorem|covering theorem]] is a fundamental result in [[measure theory]]. He also proved several theorems concerning convergence of sequences of [[measurable function|measurable]] and [[holomorphic function|holomorphic]] functions. [[Vitali convergence theorem]] generalizes [[Henri Lebesgue|Lebesgue's]] [[dominated convergence theorem]]. Another theorem bearing his name gives a sufficient condition for the uniform convergence of a sequence of holomorphic functions on an open domain <math>D</math>⊂ℂ to a holomorphic function on <math>D.</math> This result has been generalized to [[normal family|normal families]] of meromorphic functions, [[holomorphic function]]s of [[several complex variables]], and so on.
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| ==See also==
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| *[[Vitali convergence theorem]]
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| *[[Vitali covering theorem]]
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| *[[Vitali-Hahn-Saks theorem]]
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| *[[Vitali set]]
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| ==Bibliography==
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| *{{Citation
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| | last = Tonolo
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| | first = Angelo
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| | author-link = Angelo Tonolo
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| | title = Commemorazione di Giuseppe Vitali (Commemoration of Giuseppe Vitali)
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| | journal = [http://rendiconti.math.unipd.it/ Rendiconti del Seminario Matematico della Università di Padova]
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| | volume = 3
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| | pages = 67–81
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| | year = 1932
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| | url = http://www.numdam.org/item?id=RSMUP_1932__3__67_0
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| | doi =
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| | jfm = 58.0049.10
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| }}, (in [[Italian language|Italian]]). Available at [http://www.numdam.org/ Numdam].
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| *{{Citation
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| | first = G. F.
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| | last = Tricomi
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| | author-link = Francesco Tricomi
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| | contribution = Giuseppe Vitali
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| | contribution-url = http://www.dm.unito.it/sism/m_italiani/biografie/tricomi/vitali.html
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| | title = Matematici italiani del primo secolo dello stato unitario (Italian mathematicians of the first century of the unitary state)
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| | journal = Memorie dell'Accademia delle Scienze di Torino. Classe di Scienze fisiche matematiche e naturali
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| | series = series IV
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| | volume = I
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| | year = 1962
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| | pages = 120
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| | zbl = 0132.24405
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| }} (in [[Italian language|Italian]]). Available from the website of the [http://www.dm.unito.it/sism/ Società Italiana di Storia delle Matematiche].
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| ==References==
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| * {{Citation
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| | last = Vitali
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| | first = Giuseppe
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| | author-link=
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| | title = Sui gruppi di punti e sulle funzioni di variabili reali (On groups of points and functions of real variables)
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| | journal = [http://www.accademiadellescienze.it/editoria/atti_fisici Atti dell'Accademia delle Scienze di Torino]
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| | origyear = 17 dicembre 1907
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| | year = 1908
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| | volume = 43
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| | pages = 75–92
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| | url = http://www.archive.org/details/attidellarealeac43real
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| | archiveurl = http://www.archive.org/stream/attidellarealeac43real#page/228/mode/2up
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| | archivedate = 2009-03-31
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| | jfm = 39.0101.05
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| }}, (in [[Italian language|Italian]]). The paper containing the first proof of [[Vitali covering theorem]].
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| ==External links==
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| * {{MacTutor Biography|id=Vitali}}
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| {{Authority control|VIAF=49297480}}
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| {{Persondata <!-- Metadata: see [[Wikipedia:Persondata]]. -->
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| | NAME = Vitali, Giuseppe
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| | ALTERNATIVE NAMES =
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| | SHORT DESCRIPTION = Italian mathematician
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| | DATE OF BIRTH = 26 August 1875
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| | PLACE OF BIRTH = [[Ravenna]], Italy
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| | DATE OF DEATH = 29 February 1932
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| | PLACE OF DEATH = [[Bologna]], Italy
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| }}
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| {{DEFAULTSORT:Vitali, Giuseppe}}
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| [[Category:1875 births]]
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| [[Category:1932 deaths]]
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| [[Category:People from Ravenna]]
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| [[Category:19th-century Italian mathematicians]]
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| [[Category:20th-century Italian mathematicians]]
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| [[Category:Italian mathematicians]]
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| [[Category:Mathematical analysts]]
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| {{Italy-mathematician-stub}}
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My name is Darrin from Eichenau studying Agriculture and Life Sciences. I did my schooling, secured 92% and hope to find someone with same interests in Kayaking.
Also visit my homepage - Bookbyte Buyback Reviews